Quantum Scaling Approach to Nonequilibrium Models
Statistical Mechanics
2009-11-11 v1
Abstract
Stochastic nonequilibrium exclusion models are treated using a real space scaling approach. The method exploits the mapping between nonequilibrium and quantum systems, and it is developed to accommodate conservation laws and duality symmetries, yielding exact fixed points for a variety of exclusion models. In addition, it is shown how the asymmetric simple exclusion process in one dimension can be written in terms of a classical Hamiltonian in two dimensions using a Suzuki-Trotter decomposition.
Cite
@article{arxiv.cond-mat/0502383,
title = {Quantum Scaling Approach to Nonequilibrium Models},
author = {T. Hanney and R. B. Stinchcombe},
journal= {arXiv preprint arXiv:cond-mat/0502383},
year = {2009}
}
Comments
17 pages