Matrix product solution of a left-permeable two-species asymmetric exclusion process

Abstract

We study a two-species partially asymmetric exclusion process where the left boundary is permeable for the `slower' species but the right boundary is not. We find a matrix product solution for the stationary state, and the exact stationary phase diagram for the densities and currents. By calculating the density of each species at the boundaries, we find further structure in the stationary phases. In particular, we find that the slower species can reach and accumulate at the far boundary, even in phases where the bulk density of these particles approaches zero.

22 pages, 6 figures, introduction improved, typos fixed, final version

References in corpus (7)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Diffusion of multiple species with excluded-volume effects
• Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
• Combinatorics of the two-species ASEP and Koornwinder moments
• Integrable boundary conditions for multi-species ASEP
• Matrix product solution to a 2-species TASEP with open integrable boundaries
• Tableaux combinatorics of the two-species PASEP

Cited by in corpus (5)

• Matrix product solution to multi-species ASEP with open boundaries
• The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps
• The phase diagram for a multispecies left-permeable asymmetric exclusion process
• The phase diagram for a class of multispecies permissive asymmetric exclusion processes
• Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration