Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-08-02
Phys. Rev. E 82, 041117 (2010)
Physics
Condensed Matter
Statistical Mechanics
6 pages, 4 eps Figs
Scientific paper
10.1103/PhysRevE.82.041117
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.
Basu Urna
Mohanty Pravata Kumar
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