2020/09/30 by Tirthankar Banerjee, Christian Maes
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Asymmetric simple exclusion process #Boundary (topology) #Diffusion #Entropy production #Gating #Geometry #Mathematical analysis #Mathematics #Mechanics #Monotone polygon #Non-equilibrium thermodynamics #Phase (matter) #Phase boundary #Physics #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8121/abcf0d
published as J. Phys. A: Math. Theor. 54 025004 (2021) · 21 pages, 13 figures
openalex created_date 2020/09/08 · openalex publication_date 2020/11/30 · arxiv created 2020/12/26 · arxiv updated 2021/02/03 · openalex updated_date 2026/08/05
Abstract When the contacts of an open system flip between different reservoirs, the resulting nonequilibrium shows increased dynamical activity. We investigate such active gating for one-dimensional symmetric (SEP) and asymmetric (ASEP) exclusion models where the left/right boundary rates for entrance and exit of particles are exchanged at random times. Such rocking makes simple exclusion processes spatially symmetric and on average there is no boundary driving; yet the entropy production increases in the rocking rate. For asymmetric simple exclusion processes a non-monotone density profile can be obtained with particles clustering at the edges. In the totally asymmetric case, there is a bulk transition to a maximal current phase as the rocking exceeds a finite threshold, depending on the boundary rates. We study the resulting density profiles and current as functions of the rocking rate.