Stroboscopic exclusion process: a first-moment-driven dynamics

Abstract

We define a new variant of exclusion processes in discrete time that has jump probabilities that depend on the last jump performed. In a particular limit for the jump probabilities and in suitable scaling limits for space and time, we compute the time evolution of the particle density starting from an arbitrary initial configuration, with closed boundary conditions. The core of the argument is the analysis of the time evolution of the moments. Numerical results are compared with the prediction and give excellent agreement.

arXiv comment7 pages

References in corpus (14)

• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Steady-state selection in driven diffusive systems with open boundaries
• Shock formation in an exclusion process with creation and annihilation
• Exact solution of a cellular automaton for traffic
• Exact Results for the Asymmetric Simple Exclusion Process with a Blockage
• Matrix representation of the stationary measure for the multispecies TASEP
• Disordered asymmetric simple exclusion process: mean-field treatment
• Bethe Ansatz Solution for a Defect Particle in the Asymmetric Exclusion Process
• Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries
• Phase diagram of two-lane driven diffusive systems
• One-Dimensional Partially Asymmetric Simple Exclusion Process on a Ring with a Defect Particle
• Integrable Floquet dynamics, generalized exclusion processes and "fused" matrix ansatz
• Smoothly-varying hopping rates in driven flow with exclusion