Quantum Scaling Approach to Nonequilibrium Models

Details Quantum Scaling Approach to Nonequilibrium Models Quantum Scaling Approach to Nonequilibrium Models

2005-02-16

arxiv.org/abs/cond-mat/0502383v1

Phys. Rev. E 72, 016118 (2005)

Physics

Condensed Matter

Statistical Mechanics

17 pages

Scientific paper

10.1103/PhysRevE.72.016118

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.

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