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Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries

Masaru Uchiyama, Miki Wadati

cond-mat.stat-mecharXiv:cond-mat/0410015

Abstract

We investigate the correlation functions of the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries. The conditions for the boundaries are made most general. The correlation function is expressed in a multifold integral whose behavior we study in detail. We present a phase diagram of the correlation length. For the case the correlation length diverges, we further give the leading terms of the finite-size correction.

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