The exact phase diagram for a class of multispecies asymmetric exclusion processes

Abstract

The asymmetric exclusion process is an idealised stochastic model of transport, whose exact solution has given important insight into a general theory of nonequilibrium statistical physics. In this work, we consider a totally asymmetric exclusion process with multiple species of particles on a one-dimensional lattice in contact with reservoirs. We derive the exact nonequilibrium phase diagram for the system in the long time limit. We find two new phenomena in certain regions of the phase diagram: when the density of a species becomes zero throughout the system, and dynamical localisation when the density of a species is nonzero only within an interval far from the boundaries. We give a complete explanation of the macroscopic features of the phase diagram using what we call nested fat shocks.

Scientific Reports document style, 9 pages, 5 figures. Stylistic changes made, typos corrected, supplementary material added in the ancillary directory, final version

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Cited by in corpus (8)

• Matrix product solution to multi-species ASEP with open boundaries
• Traffic models and traffic-jam transition in quantum ($N$+1)-level systems
• Two-species TASEP model: from a simple description to intermittency and travelling traffic jams
• Approximating the stationary distribution of the ASEP with open boundaries
• KPZ fluctuations in finite volume
• Dependence of the transportation time on the sequence in which particles with different hopping probabilities enter a lattice
• The phase diagram for a multispecies left-permeable asymmetric exclusion process
• The phase diagram for a class of multispecies permissive asymmetric exclusion processes