Dynamics of Repulsion Processes

Abstract

We study dynamical behaviors of one-dimensional stochastic lattice gases with repulsive interactions whose span can be arbitrary large. We endow the system with a zero-temperature dynamics, so that the hops to empty sites which would have led to the increase of energy are forbidden. We assume that the strength of interactions sufficiently quickly decreases with the separation between the particles, so that interactions can be treated in a lexicographic order. For such repulsion processes with symmetric nearest-neighbor hopping we analytically determine the density-dependent diffusion coefficient. We also compute the variance of the displacement of a tagged particle.

14 pages; references added, Introduction expanded, Appendix D added, various minor corrections

References in corpus (4)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Facilitated Asymmetric Exclusion
• Limiting Shapes in Two-Dimensional Ising Ferromagnets

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