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Deterministic Exclusion Process with a Stochastic Defect: Matrix-Product Ground States

Haye Hinrichsen, Sven Sandow

cond-mat.stat-mecharXiv:cond-mat/9611134

Abstract

We study a one-dimensional anisotropic exclusion model describing particles moving deterministically on a ring with a single defect across which they move with probability 0 < q < 1. We show that the stationary state of this model can be represented as a matrix-product state.

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