Matrix product solution to multi-species ASEP with open boundaries

Abstract

We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries and are present in the stationary state. We give the exact expression of the stationary state in a matrix product form and we compute its normalisation. Densities and currents for the different species are then computed in term of this normalisation.

26 pages

References in corpus (6)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Asymptotics in ASEP with Step Initial Condition
• Fluctuation properties of the TASEP with periodic initial configuration
• Matrix representation of the stationary measure for the multispecies TASEP
• Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
• Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

Cited by in corpus (7)

• Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP
• Combinatorial mappings of exclusion processes
• KPZ fluctuations in finite volume
• Matrix Product representation of the stationary state of the open Zero Range Process
• Multi species asymmetric simple exclusion process with impurity activated flips
• The phase diagram for a class of multispecies permissive asymmetric exclusion processes
• Matrix product solution of the stationary states of two-species open zero range processes