Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries

TL;DR

This paper analyzes the correlation functions of the ASEP with open boundaries, providing a detailed integral expression, a phase diagram of correlation length, and finite-size corrections for diverging cases.

Contribution

It introduces the most general boundary conditions for ASEP and derives explicit integral formulas and phase diagrams for correlation lengths.

Findings

Correlation length phase diagram mapped out.

Explicit integral expressions for correlation functions.

Finite-size corrections identified for diverging correlation length.

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.