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

Ayyer, Arvind and Finn, Caley and Roy, Dipankar (2018) Matrix product solution of a left-permeable two-species asymmetric exclusion process. In: PHYSICAL REVIEW E, 97 (1).

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Official URL: http://dx.doi.org/10.1103/PhysRevE.97.012151


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.

Item Type: Journal Article
Additional Information: Copy right for this article belong to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 02 Mar 2018 15:04
Last Modified: 02 Mar 2018 15:04
URI: http://eprints.iisc.ac.in/id/eprint/58946

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