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The Phase Diagram for a Multispecies Left-Permeable Asymmetric Exclusion Process

Ayyer, Arvind and Finn, Caley and Roy, Dipankar (2019) The Phase Diagram for a Multispecies Left-Permeable Asymmetric Exclusion Process. In: JOURNAL OF STATISTICAL PHYSICS, 174 (3). pp. 605-621.

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Official URL: https://doi.org/10.1007/s10955-018-2183-x

Abstract

We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram using an exact projection to the LPASEP solved by us in a previous work. In most phases, we observe the phenomenon of dynamical expulsion of one or more species. We explain the density profiles in each phase using interacting shocks. This explanation is corroborated by simulations.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Springer.
Keywords: Asymmetric exclusion process; Left-permeable; Multispecies; Phase diagram; Interacting shocks; Dynamical expulsion
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 04 Mar 2019 09:17
Last Modified: 04 Mar 2019 09:17
URI: http://eprints.iisc.ac.in/id/eprint/61884

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