Uchiyama, Masaru; Wadati, Miki Correlation function of Asymmetric Simple Exclusion Process with open boundaries. (English) Zbl 1362.82028 J. Nonlinear Math. Phys. 12, Suppl. 1, 676-688 (2005). 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. Cited in 4 Documents MSC: 82B43 Percolation 82C43 Time-dependent percolation in statistical mechanics PDFBibTeX XMLCite \textit{M. Uchiyama} and \textit{M. Wadati}, J. Nonlinear Math. Phys. 12, 676--688 (2005; Zbl 1362.82028) Full Text: DOI arXiv