Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
Mathematical Physics
2009-04-24 v1 Statistical Mechanics
math.MP
Quantum Algebra
Abstract
The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' () of the quantum algebra. Using the quantum inverse scattering method we obtain the exact expression for the time-dependent stationary correlation function of the totally asymmetric simple exclusion process on a one dimensional lattice with the periodic boundary conditions.
Keywords
Cite
@article{arxiv.0904.3680,
title = {Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model},
author = {Nikolay M. Bogoliubov},
journal= {arXiv preprint arXiv:0904.3680},
year = {2009}
}