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Monotonicity of the free energy in the stochastic Heisenberg model

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Abstract

The specific free energy of the state at timet of the stochastic Heisenberg model is shown to be non-increasing witht, and to strictly decrease whenever this state is not a Gibbs state of the Hamiltonian. The initial state is assumed to be translation invariant and suitably smooth. For such states a convergence theorem is obtained.

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Author notes

  1. William D. Wick

    Present address: Physics Dept, Princeton University, 08544, Princeton, N.J., USA

Authors and Affiliations

  1. Mathematics Department, University of Washington, 98195, Seattle, WA, USA

    William D. Wick

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  1. William D. Wick
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Communicated by J. L. Lebowitz

This paper represents the second part of the author's thesis. The first part appeared as [5]

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Wick, W.D. Monotonicity of the free energy in the stochastic Heisenberg model. Commun.Math. Phys. 83, 107–122 (1982). https://doi.org/10.1007/BF01947074

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  • DOI: https://doi.org/10.1007/BF01947074

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