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Quantum Scaling Approach to Nonequilibrium Models

T. Hanney·R. B. Stinchcombe
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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.

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T. Hanney, R. B. Stinchcombe. 2005-02-16. Quantum Scaling Approach to Nonequilibrium Models. https://doi.org/10.1103/physreve.72.016118

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