Factorised steady states for multi-species mass transfer models

Details Factorised steady states for multi-species mass transfer models Factorised steady states for multi-species mass transfer models

2006-07-31

arxiv.org/abs/cond-mat/0607829v1

J. Stat. Mech. (2006) P12006

Physics

Condensed Matter

Statistical Mechanics

11 pages

Scientific paper

10.1088/1742-5468/2006/12/P12006

A general class of mass transport models with Q species of conserved mass is considered. The models are defined on a lattice with parallel discrete time update rules. For one-dimensional, totally asymmetric dynamics we derive necessary and sufficient conditions on the mass transfer dynamics under which the steady state factorises. We generalise the model to mass transfer on arbitrary lattices and present sufficient conditions for factorisation. In both cases, explicit results for random sequential update and continuous time limits are given.

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