Abstract
The subject of this article is to study the asymptotic velocity of a tracer particle in a mean zero asymmetric simple exclusion system in Z d (a diffusive, non-reversible particle system), slightly perturbed from equilibrium. The perturbation can be thought of to be induced by a small uniform external field E. The leading linear order term in E of the velocity is called the mobility of the particle and the Einstein relation states that it coincides with the self-diffusion matrix of the tracer particle in equilibrium. We compute the mobility when d ⩾ 3 , and we show that such a relation fails to hold for all mean-zero asymmetric simple exclusion systems. The method we use to compute the mobility is quite general and applicable to a wide range of models.
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