Low-temperature smoothness of the pressure for antiferromagnets and other models | Zendy

David Klein | Zendy; Wei-Shih Yang | Zendy

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Low-temperature smoothness of the pressure for antiferromagnets and other models

Author(s) -

David Klein,

Wei-Shih Yang

Publication year - 1991

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.529192

Subject(s) - hamiltonian (control theory) , differentiable function , inverse temperature , inverse , physics , mathematics , mathematical physics , statistical physics , mathematical analysis , thermodynamics , geometry , mathematical optimization

Under certain conditions on a grandcanonical Hamiltonian, it will be proven that at low temperature the pressure is infinitely differentiable with respect to the inverse temperature and other parameters in the Hamiltonian, when the parameters are chosen so that the number of extremal Gibbs states is at least equal to the number of ground states. Applications are made to antiferromagnets and hard‐core gases.

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