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Stochastic non-equilibrium systems and quantum spin models

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  • Stinchcombe, R.B.

Abstract

Typical characteristics of stochastic non-equilibrium systems are described. It is indicated how such properties can be captured by simple lattice-based interacting-particle models. The relationship of these models to quantum spin systems is discussed. This relationship allows the use of standard spin-model techniques, including mappings fermion models. Finally it is outlined how new techniques (including operator algebras) explain novel features of stochastic systems and provide potentially powerful statements for quantum spin models.

Suggested Citation

  • Stinchcombe, R.B., 1996. "Stochastic non-equilibrium systems and quantum spin models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 248-253.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:248-253
    DOI: 10.1016/0378-4371(95)00316-9
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    References listed on IDEAS

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    1. Stinchcombe, Maxwell B., 1993. "A further note on Bayesian information topologies," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 189-193.
    2. Derrida, B. & Evans, M.R. & Hakim, V. & Pasquier, V., 1993. "Exact results for the one dimensional asymmetric exclusion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 25-33.
    3. Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-1443, November.
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