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An exactly solvable ansatz for statistical mechanics models - MaRDI portal

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An exactly solvable ansatz for statistical mechanics models

From MaRDI portal
Publication:6351352

DOI10.1088/1742-5468/AC0152arXiv2010.07423MaRDI QIDQ6351352

Author name not available (Why is that?)

Publication date: 14 October 2020

Abstract: We propose a family of "exactly solvable" probability distributions to approximate partition functions of two-dimensional statistical mechanics models. While these distributions lie strictly outside the mean-field framework, their free energies can be computed in a time that scales linearly with the system size. This construction is based on a simple but nontrivial solution to the marginal problem. We formulate two non-linear constraints on the set of locally consistent marginal probabilities that simultaneously (i) ensure the existence of a consistent global probability distribution and (ii) lead to an exact expression for the maximum global entropy.





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