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Correlation function of Asymmetric Simple Exclusion Process with open boundaries. (English) Zbl 1362.82028

Summary: 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.

MSC:

82B43 Percolation
82C43 Time-dependent percolation in statistical mechanics
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