TY - JOUR AU - Rodríguez del Pino,, Bruno AB - ABSTRACT The A901/2 system is a rare case of galaxy cluster interaction, in which two galaxy clusters and two smaller groups are seen in route of collision with each other simultaneously. Within each of the four substructures, several galaxies with features indicative of jellyfish morphologies have been observed. In this paper, we propose a hydrodynamic model for the merger as a whole, compatible with its diffuse X-ray emission, and correlate the gas properties in this model with the locations of the jellyfish galaxy candidates in the real system. We find that jellyfish galaxies seem to be preferentially located near a boundary inside each subcluster where diffuse gas moving along with the subcluster and diffuse gas from the remainder of the system meet. The velocity change in those boundaries is such that a factor of up to ∼1000 increase in the ram pressure takes place within a few hundred kpc, which could trigger the high rate of gas loss necessary for a jellyfish morphology to emerge. A theoretical treatment of ram pressure stripping in the environment of galaxy cluster mergers has not been presented in the literature so far; we propose that this could be a common scenario for the formation of jellyfish morphologies in such systems. methods: numerical, galaxies: clusters: general, galaxies: interactions 1 INTRODUCTION In a lambda cold dark matter (ΛCDM) cosmology, primordial inhomogeneities in the density field of the universe are expected to act as seeds for the later formation of structures. On small scales, gravity tends to make initially small inhomogeneities evolve into collapsed structures, most notably dark matter haloes, which later become the hosts of objects such as galaxies and galaxy clusters. In accordance with ΛCDM, such haloes often interact with each other through mergers; galaxy cluster mergers are the most extreme version of such interactions, and are the most energetic events in the universe since the big bang (Sarazin 2002). One prominent example of a system in interaction is the A901/2 multicluster, at |$z$| ∼ 0.165. This is an unrelaxed system that contains four main cores – A901a, A901b, A902, and the SW group – and provides an ideal laboratory for probing galaxy evolution along different scales of environment and galaxy masses (Gray et al. 2004, Gray et al. 2009). All four subclusters are at similar redshifts (see e.g. Weinzirl et al. 2017), and the two most massive cores (A901a and A901b) have overlapping virial radii, which indicates that the system is likely a multicluster merger in its early stages. This is reinforced by the fact that a system with the mass of A901/2 (∼3.5 × 1014 M⊙) is expected to collapse if its spacial extent is smaller than about 5 Mpc (Busha et al. 2003), while most of the mass in A901/2 is within a spacial scale of a few Mpc. Numerical simulations have often been employed to study mergers of galaxy clusters, both from a more general, theoretical point of view, and also in order to model specific objects. Binary cluster collisions are particularly well suited for this purpose, because the numerical resolution can be entirely focused on the objects of interest, as opposed to fully cosmological simulations of structure formation. For example, the Bullet Cluster has been studied in this way (Springel & Farrar 2007; Mastropietro & Burkert 2008; Lage & Farrar 2014), as have other so-called dissociative clusters (e.g. Donnert 2014; Machado et al. 2015; Molnar & Broadhurst 2015), in which gas and dark matter are offset as a result of the collision. Numerous other observed clusters have been modelled by dedicated simulations that aim to reconstruct their dynamical histories. Simulations have been used to study several phenomena related to collisions of galaxy clusters, such as radio relics (e.g. van Weeren et al. 2011), sloshing cold fronts (e.g. ZuHone, Markevitch & Johnson 2010; Machado & Lima Neto 2015; Walker et al. 2018), turbulence (e.g. Vazza, Roediger & Brüggen 2012; ZuHone et al. 2013b), thermal conduction (e.g. ZuHone et al. 2013a), etc. Tailored simulations involving more than two initial objects are more uncommon. For example, a triple merger has been simulated by Brüggen, van Weeren & Röttgering (2012) in order to model 1RXS J0603.3+4214. Gas-rich galaxies which move within the environment of galaxy clusters are expected to have their evolution affected by the interaction with the intracluster medium (ICM). The ram pressure exerted by the ICM can lead to gas loss by ram pressure stripping (Gunn & Gott 1972), which, in more extreme cases, leads to the formation of ‘jellyfish morphologies’, in which the galaxy is observed featuring a filamentary tail of stripped gas and stars. The phenomenon of ram pressure stripping of cluster galaxies has been extensively modelled through numerical simulations, which have explored e.g. the role of inclination angle in the rate of gas loss (Roediger & Brüggen 2006), the changes in star formation rate which take place within the discs of affected galaxies (Kronberger et al. 2008; Steinhauser et al. 2012; Ruggiero & Lima Neto 2017), and the predicted emission features within their tails (Kapferer et al. 2009; Tonnesen & Bryan 2010). Although most of the numerical work on ram pressure stripping has been based on idealized set-ups, cosmological simulations of galaxy formation have also been used to explore the phenomenon, as e.g. in Tonnesen, Bryan & van Gorkom (2007) and more recently in Yun et al. (2018). Jellyfish galaxies have been found in large numbers in different cluster systems (see e.g. Ebeling, Stephenson & Edge 2014, Poggianti et al. 2016). However, the number of jellyfish galaxies found in single systems is usually small. The numbers range from 21 in Coma (Smith et al. 2010, Yagi et al. 2010), three in Virgo (Kenney & Koopmann 1999; Kenney et al. 2014; Abramson et al. 2016), one in A3627 (Sun et al. 2006), and five in A2744 (Rawle et al. 2014). Nevertheless, the rich population of ∼70 jellyfish galaxy candidates found in the A901/2 system (Roman-Oliveira et al. 2019) indicates that clusters in interaction may be an ideal environment to search for these galaxies. Moreover, McPartland et al. (2016) perform a large systematic search for such jellyfish morphologies and suggest that galaxy cluster mergers are more likely to be triggering extreme ram pressure stripping events. This scenario has also been suggested in Owers et al. (2012), where four jellyfish galaxies were found near merger signatures of the gas. It is not surprising that such relation could exist; in galaxy cluster mergers, higher ICM velocities are found than in isolated clusters, making those environments favourable for the formation of jellyfish structures. In this work, we attempt to probe the physical mechanism behind the formation of jellyfish galaxies in galaxy cluster mergers. For that, we model the diffuse gas in the A901/2 system with a galaxy cluster merger simulation, and then compare the gas conditions in this model to the location of a sample of jellyfish galaxies found in this system, allowing us to infer a scenario for the triggering of jellyfish morphologies both in the A901/2 system and in galaxy cluster mergers in general. Such theoretical treatment of ram pressure stripping in galaxy cluster mergers has not been given so far in the literature. This paper is structured as follows: in Section 2, we describe the sample of jellyfish galaxy candidates we use and comment on how they were selected; then we proceed to describe the set-up and the results of our galaxy cluster merger simulation in Section 3. The gas conditions in this simulation are correlated with the locations of the jellyfish galaxies in our sample in Section 4, where we tentatively propose a physical mechanism for the generation of many of those jellyfishes. Finally, our results are discussed and summarized in Section 5, where possible extensions of our work are also presented. 2 SAMPLE OF GALAXIES The galaxies used in this study come from an extensive search for galaxies with jellyfish morphological signatures in the A901/2 system (Roman-Oliveira et al. 2019). This sample was selected through visual inspection of HST/ACS F606W images of galaxies in the parent sample of H α emitting galaxies in the OMEGA survey (Chies-Santos et al. 2015; Rodríguez del Pino et al. 2017; Weinzirl et al. 2017; Wolf et al. 2018). The visual inspection method applied follows the work of Ebeling et al. (2014) and Poggianti et al. (2016). A classification in JClasses was also employed, in which a number from one to five is assigned to a galaxy to evaluate its degree of asymmetry – larger values are correlated with a greater likelihood of the galaxy being an actual jellyfish. The final sample is restricted to the most reliable cases of jellyfish candidates, which we take as those classified as JClass three to five. This sample contains the 73 galaxies that we use in this work. The image stamps are available at the OMEGA jellyfish candidates ATLAS.1 3 SIMULATIONS This work is based on a galaxy cluster merger simulation including the dark matter haloes and intracluster gas of the four subclusters in the A901/2 system, which was used to reproduce their positions on the plane of the sky, along with their observed X-ray properties. The simulations were run with the code gadget-2 (Springel 2005); in Appendix A, we also briefly compare the gas conditions in the main simulation with its results when it is run in ramses (Teyssier 2002), in order to assess its robustness against a change in numerical methodology. 3.1 Simulating the system as a whole Here we describe the simulation set-up, in which the four subclusters were included with the goal of obtaining a suitable model of the system as a whole. Our aim here was chiefly to recover the relative distances between four subclusters having the known virial masses and also having plausible gas content. The main observational constraints are the virial masses of the subclusters, derived from gravitational weak lensing (Heymans et al. 2008). The redshifts of the subclusters are close to each other (e.g. Weinzirl et al. 2017), so we assume that they are on the same plane. We further assume, for simplicity, that the trajectories of the four subclusters are on the plane of the sky. Virial equilibrium would require velocity dispersions of roughly 1000 km s−1; we drew random velocities but choosing the signs of the Cartesian coordinates such that the subclusters are all incoming, i.e. falling towards the centre of mass. It should be noted that our explicit assumption here is that the subclusters are currently infalling towards their first approach, i.e. they have not previously collided. As a preliminary step, we represent each cluster as a point mass having the M200 from Heymans et al. (2008). They are assigned velocities as described above, and position coordinates are known straightforwardly from observations. With this information we perform a simple gravitational N-body simulation (via direct summation) inverting the sign of time; i.e. we simply calculate the orbits backwards in time, for 5 Gyr. This exercise provides a good approximation for the t = 0 of the actual hydrodynamical simulation. In the next step, we set up four actual subclusters including dark matter and gas. The method for generating initial conditions is similar to those used in Machado & Lima Neto (2015) or Ruggiero & Lima Neto (2017), for example. The dark matter haloes follow a Hernquist (1990) profile \begin{eqnarray*} \rho _{\rm h}(r) = \frac{M_{\rm h}}{2 \pi } ~ \frac{r_{\rm h}}{r~(r+r_{\rm h})^{3}} \, , \end{eqnarray*} (1) where Mh is the total dark matter mass, and rh is a scale length. The gas is represented by a Dehnen (1993) density profile (with gas mass Mg and scale lenght rg), adopting γ = 0 \begin{eqnarray*} \rho _{\rm g}(r) = \frac{(3-\gamma)~M_{\rm g}}{4\pi } ~ \frac{r_{\rm g}}{r^{\gamma }(r+r_{\rm g})^{4-\gamma }} \, . \end{eqnarray*} (2) The requirement of hydrostatic equilibrium determines the gas temperatures. Realizations of these initial conditions are created according to the procedures described in Machado & Lima Neto (2013). The virial masses, virial radii, and gas fractions of the initial conditions are given in Table 1. Table 1. Initial conditions of the simulated subclusters. The first column gives the names of the models and the objects they are meant to represent. The second and third columns give the virial mass and virial radius, respectively. The fourth column gives the overall gas fraction. M200 r200 fgas (M⊙) (kpc) Subcluster A (A901a) 1.3 × 1014 1034 0.08 Subcluster B (A901b) 1.3 × 1014 1036 0.15 Subcluster C (A902) 0.4 × 1014 688 0.08 Subcluster D (SW Group) 0.6 × 1014 788 0.06 M200 r200 fgas (M⊙) (kpc) Subcluster A (A901a) 1.3 × 1014 1034 0.08 Subcluster B (A901b) 1.3 × 1014 1036 0.15 Subcluster C (A902) 0.4 × 1014 688 0.08 Subcluster D (SW Group) 0.6 × 1014 788 0.06 View Large Table 1. Initial conditions of the simulated subclusters. The first column gives the names of the models and the objects they are meant to represent. The second and third columns give the virial mass and virial radius, respectively. The fourth column gives the overall gas fraction. M200 r200 fgas (M⊙) (kpc) Subcluster A (A901a) 1.3 × 1014 1034 0.08 Subcluster B (A901b) 1.3 × 1014 1036 0.15 Subcluster C (A902) 0.4 × 1014 688 0.08 Subcluster D (SW Group) 0.6 × 1014 788 0.06 M200 r200 fgas (M⊙) (kpc) Subcluster A (A901a) 1.3 × 1014 1034 0.08 Subcluster B (A901b) 1.3 × 1014 1036 0.15 Subcluster C (A902) 0.4 × 1014 688 0.08 Subcluster D (SW Group) 0.6 × 1014 788 0.06 View Large Each of the four subclusters has 106 gas particles and 105 dark matter particles. Tests of the present simulations indicated convergence across three orders of magnitude in particle numbers, as far as the orbits are concerned. Moreover, since the subclusters are not interpenetrating, their gravitational potentials remain sufficiently spherical in the current stage of the approach. In this specific configuration, one could even attempt to model them by rigid analytic spherical potentials without much loss of detail. We opted to represent them as N-body particles. Here we employ the smoothed particle hydrodynamics (SPH) N-body code gadget-2 (Springel 2005), and the evolution is followed for 5 Gyr. The four subclusters, created in the manner described above, are then placed at the locations that were reached by the end of the backwards point-mass integration. And then the subclusters are allowed to evolve forward in time for 5 Gyr. They fall towards the centre of mass until the current observed separations are reached. However, they do not reach exactly the desired coordinates by the end, because the orbits of four point masses are not identical to the orbits of four extended objects. Some fine tuning of their initial positions and velocities was performed by trial and error until an acceptable agreement was reached. In the resulting preferred model, the instant when the coordinates best matched the observations was t = 4.3 Gyr. 3.2 X-ray mock image Observations indicate that A901b is the only one of the four with significant X-ray diffuse emission. A901a hosts a very bright active galactic nucleus, so its extended emission is unclear. A902 is barely above the background noise, and the SW Group is essentially undetectable in X-rays (Gilmour et al. 2007). To ensure a higher X-ray emission, subcluster B in Table 1 has the highest gas content of the four. In the absence of detailed observational constraints, the other simulated subclusters were chosen to have a low gas fraction of approximately 8 per cent (or 6 per cent in the case of the SW group), towards the lower limit of what is expected for their masses (Laganá et al. 2013). The simulated gas densities of the best-matching instant are shown in Fig. 1. In this figure, one may also notice that the centroids of the projected total mass distributions of the four subhaloes reproduce the observed relative separations in a good approximation. Figure 1. View largeDownload slide This is the snapshot that best reproduces the observed relative separations between the subclusters (t = 4.3 Gyr). The colours represent the projected gas density. The total projected mass is shown as contours. Figure 1. View largeDownload slide This is the snapshot that best reproduces the observed relative separations between the subclusters (t = 4.3 Gyr). The colours represent the projected gas density. The total projected mass is shown as contours. We performed a more quantitative test to ensure that the simulated gas densities were not excessive. Using the t = 4.3 Gyr snapshot of the simulation, we produced a mock X-ray image with the following procedure, assuming thermal emission from a hot plasma. We used pyxsim,2 a Python package for simulating X-ray observations from astrophysical sources. It is based on an algorithm of Biffi et al. (2012) and Biffi, Dolag & Böhringer (2013), but see also ZuHone et al. (2014). In brief, it takes as input the simulated densities and temperatures of the gas, assumes a constant metallicity of 0.3 Z⊙, and generates a photon sample assuming a spectral model (apec from the AtomDB data base3, Foster et al. 2012). The photon sample is then projected along the line of sight (the |$z$|-axis of the simulation). Given the coordinates of the cluster, a foreground Galactic absorption model is also applied, assuming a neutral hydrogen column of NH = 4 × 1020 cm−2. The photon list is exported to be used by the SIXTE4 (Simulation of X-ray Telescopes) package, to be convolved with the XMM instrument response (the EPIC MOS camera, in this case). The effective exposure time was 67 ks and the energy range was 0.2–7.0 keV. Poissonian noise was added to the resulting 600 × 600 pixel mock image, shown in Fig. 2. Note that the X-ray emission of the SW group is present in the first frame, albeit very faint. Once noise is added, it is lost in the background. Figure 2. View largeDownload slide Comparison between the the mock X-ray image and the observations. First frame: mock X-ray image produced from the simulation. Second frame: same as before, but with added noise. Third frame: XMM observation. Fourth frame: Optical image from ESO/WFI. Figure 2. View largeDownload slide Comparison between the the mock X-ray image and the observations. First frame: mock X-ray image produced from the simulation. Second frame: same as before, but with added noise. Third frame: XMM observation. Fourth frame: Optical image from ESO/WFI. Our resulting model is approximate, and it cannot be expected to account for all details of the observed systems. Furthermore, there are no assurances that the solution we have found for the orbits is unique, as is always the case in such reconstructions. However, the gas properties in the model are physically well-motivated, and compatible with the observational expectation of X-ray detections – two subclusters with significant emission are obtained, plus two near the threshold of detection (bearing in mind that the diffuse emission of A901a is somewhat inconclusive due to the very bright point source). Therefore, the resulting snapshot of the simulation should offer a sufficiently realistic environment in which to study ram pressure effects. 4 LOCAL CONDITIONS OF THE JELLYFISH GALAXIES Now we turn to the analysis of the gas properties in the merger model presented in the previous section, with the goal of answering the question: what explains the presence of jellyfish galaxies at the locations where they are found in A901/2? Naturally, the two most important quantities to be analysed should be the diffuse gas density and the diffuse gas velocity across the system, since jellyfish morphologies are caused by ram pressure stripping events, while the ram pressure Pram depends on those two quantities (Gunn & Gott 1972) \begin{eqnarray*} P_{\mathrm{ram}} = \rho _{\mathrm{ICM}} v_{\mathrm{ICM}}^2, \end{eqnarray*} (3) where |$v$|ICM is the ICM velocity relative to a galaxy under consideration. In generating plots involving those quantities, we have used the Python package yt (Turk et al. 2011) to deposit the simulation particles into a space-filling grid with a ‘cell-in-cloud’ approach. In our analysis, we focus on the ram pressure calculated in the reference frame of each subcluster, as a first approximation for the ram pressure experienced by its member galaxies. The effect of peculiar velocities of member galaxies relative to their parent cluster will be discussed later. These reference frames are defined by the average speed of the dark matter particles within r200/3 of the centre of a given subcluster, with the centre location defined as that of the density peak of this cluster’s ICM. We have verified that the results that follow are not sensitive to the choice of the inner radius in the velocity calculation – using the velocities within radii closer to r200 yield similar results, but we find it more meaningful to restrict ourselves to the inner region of each subcluster since that region is in principle less disturbed by tidal effects. With those four reference frames defined, we are then able to calculate the ram pressure of the system as a whole in each of them. This is shown in Fig. 3, where the ram pressure is shown in slices along the plane of the four subclusters in our model, overlaid with streamlines of diffuse gas velocity. At the centre of each subcluster the ram pressure is low, since in that region the diffuse gas is on average moving along with the cluster halo. On the other hand, the ram pressure is intense far from the cluster centre, since the diffuse gas from other clusters is moving in the opposite direction at high speed. It turns out that a reasonably narrow (∼100 kpc) boundary exists between those two regions, where a significant increase in the ram pressure takes place. The dashed contours in Fig. 3 are the approximate locations of those boundaries, which were obtained using ram pressure isocontours, and in each subplot the positions of the galaxies in our sample closest (in projected space) to the subcluster considered in that plot than to any of the other three are shown. Figure 3. View largeDownload slide Ram pressure intensities in the reference frames of each of the four subclusters. Each subplot is a mid-plane slice. The dashed lines show the approximate locations of the ram pressure boundaries in each subcluster, and triangles, squares, and pentagons represent the locations of jellyfish galaxies classified as JClass 3, 4, and 5, respectively. Ram pressure profiles along the four black lines are shown in Fig. 7. Figure 3. View largeDownload slide Ram pressure intensities in the reference frames of each of the four subclusters. Each subplot is a mid-plane slice. The dashed lines show the approximate locations of the ram pressure boundaries in each subcluster, and triangles, squares, and pentagons represent the locations of jellyfish galaxies classified as JClass 3, 4, and 5, respectively. Ram pressure profiles along the four black lines are shown in Fig. 7. Fig. 4 shows a gas density slice of the simulation, in which all the ram pressure boundaries are shown simultaneously, along with the locations of all our jellyfish candidates and some examples of HST images for those galaxies. This plot shows that the density in the system does not feature any pronounced structure at the locations of the boundaries, which implies that they emerge exclusively due to the velocity structure of the diffuse gas around their locations. It is not surprising that this should be the case, since the clusters are approaching each other (and thus their diffuse gas is moving at opposing directions), while the ram pressure depends very strongly on the diffuse gas speed, more so than on its density (see equation 3). In this way, the ram pressure boundaries can be identified as regions where gas moving along each subcluster and gas from the remainder of the system meet. Figure 4. View largeDownload slide Identification of our sample of galaxies over a mid-plane density slice of our simulation. The dashed lines are the locations of the ram pressure boundaries shown in Fig. 3. Some HST thumbs in arbitrary scale are shown for the sake of illustration, and, also as in Fig. 3, triangles, squares, and pentagons are used for JClass 3, 4, and 5 galaxies, respectively. Figure 4. View largeDownload slide Identification of our sample of galaxies over a mid-plane density slice of our simulation. The dashed lines are the locations of the ram pressure boundaries shown in Fig. 3. Some HST thumbs in arbitrary scale are shown for the sake of illustration, and, also as in Fig. 3, triangles, squares, and pentagons are used for JClass 3, 4, and 5 galaxies, respectively. It can be visually noted in Fig. 3 that many galaxies are located in the vicinities of the ram pressure boundaries. This is not always the case – for instance, many galaxies in the A902 subcluster are found in a region without an apparent connection to the boundary we find for that subcluster. Still, a correlation seems to exist. We quantify this effect in the following manner: first, we measure the projected distance from each jellyfish galaxy to its respective nearest boundary; then, we generate a random cloud of points occupying the same area as those galaxies and also measure their distances to the nearest boundaries. The comparison between these two distributions of distances is shown in Fig. 5, which makes it evident that the jellyfishes are systematically closer to a boundary than what would be expected from a random distribution. The Kolmogorov–Smirnov test applied to cumulative, normalized histograms for both samples indicates that the chance of the two distributions being equivalent is very small, of one in ∼85 million (p-value of 10−6 per cent). We also make the same comparison using the STAGES sample (Gray et al. 2009) of galaxies in the A901/2 cluster instead of a random sample, filtered for member galaxies with stellar mass between 108  and 1012 M⊙. The upper quartile, lower quartile, and median for the jellyfish distribution are all lower than for the STAGES distribution, with a chance of one in 757 (p-value of 0.13 per cent) of the two distributions being equivalent, further reinforcing our thesis that the jellyfishes are systematically closer to the ram pressure boundaries we report. Figure 5. View largeDownload slide Violin plot showing the distributions of distances to the nearest ram pressure boundary for a random set of points, the STAGES sample of galaxies in the A901/2 cluster, and our sample of jellyfishes. The jellyfishes are systematically closer to the boundaries than it would be expected if their locations were random, and they are also systematically closer than the non-jellyfish galaxies in the system. Figure 5. View largeDownload slide Violin plot showing the distributions of distances to the nearest ram pressure boundary for a random set of points, the STAGES sample of galaxies in the A901/2 cluster, and our sample of jellyfishes. The jellyfishes are systematically closer to the boundaries than it would be expected if their locations were random, and they are also systematically closer than the non-jellyfish galaxies in the system. The distribution of distances to the nearest boundary can also be analysed as a function of JClass. This is shown in Fig. 6. The three distributions are overall quite similar, but an interesting feature is that the median distance to the nearest boundary decreases systematically with JClass. This could be an indication that jellyfish morphologies are more pronounced when a galaxy has just encountered a boundary, and then on a short timespan after that, they become less intense. The median distance for JClass 5 galaxies is 53 kpc smaller than for JClass 3 galaxies; assuming that the galaxies move at 1000 km s−1, this would imply that the transition from JClass 5 to 3 happens on a time-scale of 53 Myr in this scenario. Despite this being a tantalizing hypothesis, Kolmogorov–Smirnov tests applied to the distributions for JClass 3 and 4, 3 and 5, and 4 and 5 galaxies yield p-values of 6.75, 13.5, and 7.06 per cent, respectively, meaning we have a low confidence that a difference actually exists between the three distributions. Figure 6. View largeDownload slide Box plot showing the distances between the jellyfish galaxies and the nearest ram pressure boundaries as a function of JClass. The median distances decrease with JClass: they are 279 kpc, 245 kpc, and 226 kpc for JClass 3, 4, and 5 galaxies, but a Kolmogorov–Smirnov test applied to the pairs of distributions lead us to conclude that this is not a statistically significant result. Figure 6. View largeDownload slide Box plot showing the distances between the jellyfish galaxies and the nearest ram pressure boundaries as a function of JClass. The median distances decrease with JClass: they are 279 kpc, 245 kpc, and 226 kpc for JClass 3, 4, and 5 galaxies, but a Kolmogorov–Smirnov test applied to the pairs of distributions lead us to conclude that this is not a statistically significant result. As a more quantitative illustration of the ram pressure variations along the ram pressure boundaries we report, we show in Fig. 7 ram pressure profiles along the four black lines in Fig. 3, which were chosen arbitrarily for the sake of illustration. Before the boundaries are crossed, the ram pressure profiles feature some noise, but overall they remain somewhat constant. After the boundary is crossed, an increase of a factor of 10–1000 (depending on the cluster) takes place in the ram pressure within a few hundred kpc. The two largest subclusters (A and B) feature ram pressure increments larger than that of the remaining two (C and D), mainly due to their proximity to each other. Figure 7. View largeDownload slide Ram pressure variation along the four black lines shown in Fig. 3, which are all perpendicular to their respective ram pressure boundaries. This illustrates the ram pressure increase which takes place in those boundaries, which can be of a factor of up to 1000. Figure 7. View largeDownload slide Ram pressure variation along the four black lines shown in Fig. 3, which are all perpendicular to their respective ram pressure boundaries. This illustrates the ram pressure increase which takes place in those boundaries, which can be of a factor of up to 1000. An initial hypothesis of the analysis so far was to calculate ram pressure in the reference frames of each subcluster, as an approximation for the velocities of its member galaxies. But the galaxies in reality feature peculiar velocities relative to their parent clusters. In Fig. 8, we show the same map as in Fig. 3 for subcluster C for reference frames with different velocities added in the same direction as that of the cluster average. We have chosen this subcluster for the sake of illustration because it is the one with the simplest ram pressure boundary. We find that the ram pressure boundary is only pronounced for velocities within roughly 100 km s−1 of the average cluster velocity; beyond that, the boundary fades away and the ram pressure intensity becomes correlated with the gas density at each location. This adds up to our picture so far in the following manner: our scenario should involve galaxies moving at relatively low speed relative to their parent subcluster, perhaps close to their apocentric passage. Those galaxies are still moving at high speed in the reference frame of the system as a whole, allowing them to cross the ram pressure boundary within a short time-scale, of ∼100 Myr, and then become jellyfishes after that. Figure 8. View largeDownload slide Effect of peculiar velocities relative to the parent galaxy cluster. Each panel is a mid-plane ram pressure slice in a reference frame defined by the average velocity of the A902 subcluster plus the indicated velocity, added in the same direction. A ram pressure increase in the boundary we report is pronounced for velocities within 100 km s−1 of the average cluster velocity. Figure 8. View largeDownload slide Effect of peculiar velocities relative to the parent galaxy cluster. Each panel is a mid-plane ram pressure slice in a reference frame defined by the average velocity of the A902 subcluster plus the indicated velocity, added in the same direction. A ram pressure increase in the boundary we report is pronounced for velocities within 100 km s−1 of the average cluster velocity. One could also wonder whether our results would be different for off-plane ram pressure slices, i.e. planes parallel to the plane of the centres of the four subclusters, but at a certain height – so far we have limited ourselves to a mid-plane slice. We have verified that the locations of the ram pressure boundaries are very close to that in the mid-plane slice for heights of up to ∼500 kpc; the main difference is that the off-plane densities are lower, making the off-plane ram pressure increments also smaller. 5 DISCUSSION AND SUMMARY We have employed in our analyses a tailored simulation of the A901/2 system. Even though it consists of four subclusters, we were able to reach a satisfactory model. Dedicated simulations of galaxy cluster mergers involving three or more objects have not often been attempted – an example is Brüggen et al. (2012). In a general situation, the large number of degrees of freedom in the initial conditions would render the exploration of the parameter space nearly impracticable. However, in the particular case of A901/2, this approach was feasible due to some simplifying assumptions that were adopted – apart from the usual set-up of such idealized simulations (initially spherical objects, hydrostatic equilibrium, absence of small-scale substructures, etc). Regarding the dynamics of the system, our assumption was that the four objects are incoming for their first approach. This seems to be justifiable, given that they currently display no noticeable large-scale disturbances in their morphologies. Furthermore, we assumed for simplicity that the orbits are all on the plane of the sky. In our best model, the relative separations between the four subclusters are recovered. More importantly, the diffuse X-ray emissions are also quite well reproduced. This suggests that, in spite of the simplifying assumptions adopted, the gas properties in the simulation must be realistic within a good approximation. From comparing the gas conditions in this model to the locations of the jellyfish galaxies in our adopted sample, we have inferred a possible mechanism for the triggering of jellyfish morphologies in this interaction environment, which is that the galaxies become jellyfishes when they cross a boundary within its parent subcluster where a significant increase in the ram pressure takes place, due to gas originally from the subcluster and gas from the remainder of the system meeting. A ram pressure increment of a factor of up to 1000 takes place on a scale of ∼100 kpc, while the galaxies are expected to be moving at speeds greater than 1000 km s−1, implying a time-scale of ∼100 Myr to cross the boundaries. We believe that this combination of a large increment in the ram pressure and a relatively short time-scale to cross the boundaries makes it reasonable to conjecture that those boundaries could markedly affect the evolution of the gas content within the galaxies and turn them into jellyfishes. One caveat which should be pointed out is that this mechanism does not necessarily apply to all of the jellyfishes in the system. Indeed, in each subcluster a subset of galaxies far away from the respective boundary exists, which could have had their jellyfish morphologies triggered by a mechanism unassociated to the merger altogether. Still, we find significant differences in the distributions of distance to nearest boundary between the jellyfish sample and both a random sample and the STAGES sample of member galaxies in the system. This suggests that it is reasonable to assume that a significant fraction of the jellyfishes are indeed being generated by the aforementioned mechanism. Another caveat is that the exact locations of the ram pressure boundaries in the real system could be different from the ones we report due to a variety of factors – for instance, the exact positioning of clusters in the line of sight, deviations from our adopted initial density profiles and deviations from hydrostatic equilibrium in the clusters prior to the merger are all factors which could lead to different ram pressure distributions. Indeed, regarding deviations from hydrostatic equilibrium, cosmological simulations have pointed out that random bulk motions are relevant in the ram pressure stripping of galaxies in isolated galaxy clusters (Tonnesen & Bryan 2008). One illustrative implication of this is the following: if, for some reason, the boundary for subcluster C shown in Fig. 3 is in reality located some 100 kpc lower than what we find, then it would be located right on top of a concentration of about eight jellyfish galaxies, which are all behind the boundary in our model. Although this entire work is devoted to the particular case of the A901/2 system, we expect the ram pressure boundaries we report inside each subcluster to be present in all galaxy cluster mergers which are still in the early stages of the collision, before their centres have crossed each other. In this way, a similar analysis to the one presented here could be carried out for other observed galaxy clusters, in order to probe the universality of the mechanism. Perhaps the biggest difficulty in this is finding jellyfish galaxies in clusters in the first place – they are rare and their identification is very dependent on visual inspection. Previous observational work on jellyfish galaxies, such as McPartland et al. (2016) and Owers et al. (2012), have hinted that such galaxies could actually be preferentially found in galaxy cluster merger systems; our findings are consistent with interacting galaxy clusters being a favourable environment for searching for such galaxies. The summary of this paper is as follows: we have developed a hydrodynamic model for the A901/2 system using a multicluster merger simulation, consistent with their positions relative to each other, their masses and their X-ray emissions. This model was used to correlate the gas conditions in the system with the locations of the jellyfish galaxy candidates in it identified by Roman-Oliveira et al. (2019). We have found that at each subcluster, a boundary exists where gas moving along the cluster and gas from the remainder of the system meet; in those boundaries, an increment of a factor of 10–1000 in the ram pressure takes place within a few hundred kpc, due to a large increment in the diffuse gas velocity. More importantly, we have found that jellyfish galaxies in the system seem to be preferentially located near those boundaries, which could mean that the crossing of those boundaries is the mechanism behind the formation of jellyfishes at those locations. We propose that this mechanism could be common in galaxy cluster mergers which are at the beginning stages of their encounter, possibly making those environments particularly favourable for searching for jellyfish galaxies. This is the first theoretical treatment of ram pressure stripping in the environment of galaxy cluster mergers which has been presented in the literature. ACKNOWLEDGEMENTS RR thanks the São Paulo Research Foundation, FAPESP, for the financial support (grant 15/13141-7). This work has used the computing facilities of the Laboratory of Astroinformatics (IAG/USP, NAT/Unicsul), whose purchase was made possible by the Brazilian agency FAPESP (grant 2009/54006-4) and the INCT-A. Simulations were carried out in part at the Centro de Computação Científica e Tecnológica (UTFPR). This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior – Brasil (CAPES) – Finance Code 001. ACS and FRO acknowledge funding from the Brazilian agencies Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) and the Rio Grande do Sul Research Foundation (FAPERGS) through grants PIBIC-CNPq, CNPq-403580/2016-1, CNPq-310845/2015-7, PqG/FAPERGS-17/2551-0001, PROBIC/FAPERGS and L’Oréal UNESCO ABC Para Mulheres na Ciência. GBLN thank financial support from CNPq and FAPESP (2018/17543-0). BRP acknowledges financial support from the Spanish Ministry of Economy and Competitiveness through grants ESP2015-68964 and ESP2017-83197. We thank the anonymous reviewer for the feedback that helped make the presentation of our results more clear. 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A. , Markevitch M. , Ruszkowski M. , Lee D. , 2013a , ApJ , 762 , 69 https://doi.org/10.1088/0004-637X/762/2/69 Crossref Search ADS APPENDIX A: CODE COMPARISON To compare the hydrodynamic evolution results obtained from the simulation using the code gadget-2, new simulations were performed with the ramses code. Both methods attempt to solve the fluid equations, but in very different ways: gadget-2 is a cosmological simulation code based on smoothed particle hydrodynamics (SPH) technique that computes gravitational forces with a hierarchical tree algorithm (Springel 2005), whereas ramses is based on an Adaptive Mesh Refinement (AMR) technique, with a tree-based data structure allowing recursive grid refinements on a cell-by-cell basis (Teyssier 2002). Both runs used the same initial conditions, and with comparable resolution (the minimum and maximum refinement levels defined on ramses were 6 and 12, respectively). A mass-based refinement criterion was employed on the ramses run, in order to ensure that the discretization was equivalent to that of a particle-based code like gadget-2. The analysis and of the output was done using the yt analysis code (Turk et al. 2011), so it was possible to create Fig. A1, showing the projected density and temperature maps for the instant of time t = 4.3 Gyr. When comparing the two codes, it can be noted that the final coordinates of the objects are in good agreement, i.e. the global morphology is quite similar (with the possible exception of small-scale details). Similarly, the ranges of temperature are comparable, even in regions of intense variations. This overall agreement is consistent with other studies on the comparison between AMR and SPH simulations as shown in O’Shea et al. (2005), Hubber, Falle & Goodwin (2013), and Kim et al. (2014). Figure A1. View largeDownload slide Comparison between gadget-2 (left) and ramses (right) results, showing gas density maps (upper panels) and temperature maps (lower panels), for t = 4.3 Gyr. Figure A1. View largeDownload slide Comparison between gadget-2 (left) and ramses (right) results, showing gas density maps (upper panels) and temperature maps (lower panels), for t = 4.3 Gyr. © 2018 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model) TI - Galaxy cluster mergers as triggers for the formation of jellyfish galaxies: case study of the A901/2 system JF - Monthly Notices of the Royal Astronomical Society DO - 10.1093/mnras/sty3422 DA - 2019-03-21 UR - https://www.deepdyve.com/lp/oxford-university-press/galaxy-cluster-mergers-as-triggers-for-the-formation-of-jellyfish-jL8XBqU0di SP - 906 VL - 484 IS - 1 DP - DeepDyve ER -