Monotonicity of the free energy in the stochastic Heisenberg model |
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| Authors: | William D Wick |
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| Institution: | (1) Mathematics Department, University of Washington, 98195 Seattle, WA, USA;(2) Present address: Physics Dept, Princeton University, 08544 Princeton, N.J., USA |
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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.This paper represents the second part of the author's thesis. The first part appeared as 5] |
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