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A microscopic model of a surface polymer network–membrane system is introduced with contact polymer surface interactions that can be either repulsive or attractive and slip links of functionality 4 randomly distributed over the supporting membrane surface anchoring the polymers to it. For the...
We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic jams with a power law distribution P ( t )∼ t - 3 / 2...
A matrix eigenvalue problem for the diffusion eigenstates of a periodic porous medium with interface absorption is set up by expanding those eigenstates in terms of the eigenstates of the zero absorption diffusion problem in the same medium. This approach enables us to obtain accurate numerical...
On the basis of a microscopic density-functional theory for inhomogeneous fluids we investigate the structure of liquidlike films adsorbed on laterally inhomogeneous, flat substrates that consist of two adjacent halves occupied by different chemical species. All atomic interactions are taken to...
It is shown that Lam’s formulation of renormalization group theory Phys. Fluids A 4 , 1007 (1992) is essentially the physical space version of the spectral classical closure theory Leslie and Quarini, J. Fluid Mech. 91 , 65 (1979).
Stochastic resonance occurs when a nonlinear dynamical system is periodically modulated in the presence of noise. We study in this paper the effect of including quantal corrections on the thermal transition rates of such a system, by using the Gaussian effective potential. We demonstrate that...
The method of false nearest neighbors M. B. Kennel, R. Brown, and H. D. I. Abarbanel, Phys. Rev. A 45 , 3403 (1992) has been proposed for detecting deterministic structure in empirical time series and for estimating the embedding dimension if the series is deterministic. We show that the method...
We study the scattering resonances between two confocal hyperbolas and show that the spectrum is dominated by the effect of a single periodic orbit. There are two distinct cases, depending on whether the orbit is geometric or diffractive. A generalization of periodic orbit theory allows us to...
In a recent paper Phys. Rev. E 49 , 99 (1994), Shi and Gong have proposed a necessary and sufficient condition for spontaneous symmetry breaking on fractals. In this Comment, we show that this condition does not hold, presenting some counterexamples and critically analyzing their proof.
We determine the stability boundaries of the stationary solutions of the parametrically damped two-well Duffing equation in terms of Floquet theory. The bifurcation behavior at the stability boundaries is investigated in detail. Many low primitive periodic solutions and their bifurcation...
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