TASEP and Planar Binary Trees: A Combinatorial Approach
Combinatorics
2014-04-16 v1 Statistical Mechanics
Abstract
We give a simple explanation why the stationary state of the 1D TASEP model with open boundaries is related to the Catalan numbers. Our construction is based on planar binary trees and provides a combinatorial solution of the stationary state. We discuss the relation to Catalan tableaux approaches in an appendix.
Cite
@article{arxiv.1404.3915,
title = {TASEP and Planar Binary Trees: A Combinatorial Approach},
author = {Xiangyu Cao},
journal= {arXiv preprint arXiv:1404.3915},
year = {2014}
}
Comments
8 pages