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arXiv · 1008.0316

TASEP on a ring with internal degrees of freedom

Urna Basu·P. K. Mohanty
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Abstract

A totally asymmetric exclusion process on a ring with $\nu$ non-conserved internal degrees of freedom, where particles hop forward with a rate that depends on their internal state, has been studied. We show, using a mapping of the model to a zero range process with $\nu$ different kinds of boxes, that steady state weights can be written in a matrix product form and calculate the spatial correlations exactly. A comparison of the model with an equivalent conserved system reveals that unequal hopping rates of particles belonging to different internal states is responsible for the non-trivial correlations.

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Urna Basu, P. K. Mohanty. 2010-08-02. TASEP on a ring with internal degrees of freedom. https://doi.org/10.1103/physreve.82.041117

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