Einstein Relation for Nonequilibrium Steady States

Details Einstein Relation for Nonequilibrium Steady States Einstein Relation for Nonequilibrium Steady States

2002-11-05

arxiv.org/abs/cond-mat/0211086v2

J. Stat. Phys. 111, 1377-1390 (2003)

Physics

Condensed Matter

Statistical Mechanics

14 pages; minor clarifications, reference added

Scientific paper

The Einstein relation, relating the steady state fluctuation properties to the linear response to a perturbation, is considered for steady states of stochastic models with a finite state space. We show how an Einstein relation always holds if the steady state satisfies detailed balance. More generally, we consider nonequilibrium steady states where detailed balance does not hold and show how a generalisation of the Einstein relation may be derived in certain cases. In particular, for the asymmetric simple exclusion process and a driven diffusive dimer model, the external perturbation creates and annihilates particles thus breaking the particle conservation of the unperturbed model.

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