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

Ayyer, Arvind and Roy, Dipankar (2017) The exact phase diagram for a class of open multispecies asymmetric exclusion processes. In: SCIENTIFIC REPORTS, 7 .

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Official URL: http://doi.org/ 10.1038/s41598-017-12768-8

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: dynamical expulsion 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.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the NATURE PUBLISHING GROUP, MACMILLAN BUILDING, 4 CRINAN ST, LONDON N1 9XW, ENGLAND
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 11 Nov 2017 07:13
Last Modified: 11 Nov 2017 07:13
URI: http://eprints.iisc.ac.in/id/eprint/58195

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