Heat Transport in Low-Rossby-Number Rayleigh-Bénard ConvectionJulien, Keith ; Knobloch, Edgar ; Rubio, Antonio M; Vasil, Geoffrey M
doi: 10.1103/PhysRevLett.109.254503pmid: 23368470
We demonstrate, via simulations of asymptotically reduced equations describing rotationally constrained Rayleigh-Bénard convection, that the efficiency of turbulent motion in the fluid bulk limits overall heat transport and determines the scaling of the nondimensional Nusselt number Nu with the Rayleigh number Ra , the Ekman number E , and the Prandtl number σ . For E ≪ 1 inviscid scaling theory predicts and simulations confirm the large Ra scaling law Nu - 1 ≈ C 1 σ - 1 / 2 R a 3 / 2 E 2 , where C 1 is a constant, estimated as <?format ?> C 1 ≈ 0.04 ± 0.0025 . In contrast, the corresponding result for nonrotating convection, Nu - 1 ≈ C 2 R a α , is determined by the efficiency of the thermal boundary layers (laminar: 0.28 ≲ α ≲ 0.31 , turbulent: α ∼ 0.38 ). The 3 / 2 scaling law breaks down at Rayleigh numbers at which the thermal boundary layer loses rotational constraint, i.e., when the local Rossby number ≈ 1 . The breakdown takes place while the bulk Rossby number is still small and results in a gradual transition to the nonrotating scaling law. For low Ekman numbers the location of this transition is independent of the mechanical boundary conditions.
Surface Singularities in Eddington-Inspired Born-Infeld GravityPani, Paolo ; Sotiriou, Thomas P
doi: 10.1103/PhysRevLett.109.251102pmid: 23368444
Eddington-inspired Born-Infeld gravity was recently proposed as an alternative to general relativity that offers a resolution of spacetime singularities. The theory differs from Einstein’s gravity only inside matter due to nondynamical degrees of freedom, and it is compatible with all current observations. We show that the theory is reminiscent of Palatini f ( R ) gravity and that it shares the same pathologies, such as curvature singularities at the surface of polytropic stars and unacceptable Newtonian limit. This casts serious doubt on its viability.
Nucleation of Ligand-Receptor Domains in Membrane AdhesionBihr, Timo ; Seifert, Udo ; Smith, Ana-Sunčana
doi: 10.1103/PhysRevLett.109.258101pmid: 23368503
We present a comprehensive model for the nucleation of domains in membrane adhesion. We determine the critical number of bonds in a nucleus and calculate the probability distribution of nucleation time from a discrete master equation. The latter is characterized by only four effective rates, which account for cooperative effects between bonds. We validate our model by finding excellent agreement with extensive Langevin simulations. In the range of parameters typical for cell adhesion, we find the critical number of bonds to be small. Furthermore, we find a characteristic separation between the bonds at which nucleation is particularly fast, pointing to potential regulatory mechanisms that could be used to control the cell recognition processes.
Dynamic Coupling between a Multistable Defect Pattern and Flow in Nematic <?format ?>Liquid Crystals Confined in a Porous MediumAraki, Takeaki
doi: 10.1103/PhysRevLett.109.257801pmid: 23368501
When a nematic liquid crystal is confined in a porous medium with strong anchoring conditions, topological defects, called disclinations, are stably formed with numerous possible configurations. Since the energy barriers between them are large enough, the system shows multistability. Our lattice Boltzmann simulations demonstrate dynamic couplings between the multistable defect pattern and the flow in a regular porous matrix. At sufficiently low flow speed, the topological defects are pinned at the quiescent positions. As the flow speed is increased, the defects show cyclic motions and nonlinear rheological properties, which depend on whether or not they are topologically constrained in the porous networks. In addition, we discover that the defect pattern can be controlled by controlling the flow. Thus, the flow path is recorded in the porous channels owing to the multistability of the defect patterns.
Quantum Simulation of Small-Polaron Formation with Trapped IonsStojanović, Vladimir M; Shi, Tao M; Bruder, C. M; Cirac, J. Ignacio
doi: 10.1103/PhysRevLett.109.250501pmid: 23368438
We propose an analog quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the realization of the antiadiabatic regime of the Holstein model. We show that the strong excitation-phonon coupling regime, characterized by the formation of small polarons, can be reached using realistic values of the relevant system parameters. Finally, we propose measurements of the quasiparticle residue and the average number of phonons in the ground state, experimental probes validating the polaronic character of the phonon-dressed excitation.