Facilitated Asymmetric Exclusion

Abstract

We introduce a class of facilitated asymmetric exclusion processes in which particles are pushed by neighbors from behind. For the simplest version in which a particle can hop to its vacant right neighbor only if its left neighbor is occupied, we determine the steady state current and the distribution of cluster sizes on a ring. We show that an initial density downstep develops into a rarefaction wave that can have a jump discontinuity at the leading edge, while an upstep results in a shock wave. This unexpected rarefaction wave discontinuity occurs generally for facilitated exclusion processes.

4 pages, 5 figures, revtex4 format. Version 2 contains various minor changes in response to referee comments. For publication in PRL

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Cited by in corpus (29)

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• Condensation in stochastic mass transport models: beyond the zero-range process
• Facilitated exclusion process
• The $q$-Hahn asymmetric exclusion process
• Dynamics of Repulsion Processes
• Slow dynamics and large deviations in classical stochastic Fredkin chains
• Entrainment and unit velocity: Surprises in an accelerated exclusion process
• Hydrodynamic limit for a facilitated exclusion process
• Driving kinetically constrained models into non-equilibrium steady states: structural and slow transport properties
• Dynamic Singularities in Cooperative Exclusion
• Current reversal and exclusion processes with history-dependent random walks
• Two-lane totally asymmetric simple exclusion process with extended Langmuir kinetics
• Stationary States of the One-Dimensional Discrete-Time Facilitated Symmetric Exclusion Process
• Stationary States of the One-dimensional Facilitated Asymmetric Exclusion Process
• Gradient structure and transport coefficients for strong particles
• Contact processes in crowded environments
• Limiting Shapes in Two-Dimensional Ising Ferromagnets
• A class of exactly solved assisted hopping models of active-absorbing state transitions on a line
• The Discrete-Time Facilitated Totally Asymmetric Simple Exclusion Process
• Hydrodynamic approximations for driven dense colloidal mixtures in narrow pores
• Exclusion Processes with Avalanches
• Mass transport perspective on an accelerated exclusion process: Analysis of augmented current and unit-velocity phases
• Stochastic Dynamics of Growing Young Diagrams and Their Limit Shapes
• Condensation in models with factorized and pair-factorized stationary states
• Short-range and long-range correlations in driven dense colloidal mixtures in narrow pores
• Quest for the golden ratio universality class
• The Limiting Behavior of the FTASEP with Product Bernoulli Initial Distribution
• Exact Solution of the F-TASEP
• Approach to Hyperuniformity in the One-Dimensional Facilitated Exclusion Process