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Fluctuation of free energy for the mean-field Ghatak-Sherrington Model

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arxiv 2408.16133 v1 pith:5CK37HK5 submitted 2024-08-28 math.PR

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keywords modelenergyfreecalculuscentralcn95derivedenough
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In this short note, we prove a central limit theorem for the free energy in the Ghatak- Sherrington model at high enough temperatures, based on a generalization of the stochastic calculus method for the SK model derived in [CN95, Tin05].

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    The authors adapt Guerra interpolation to a unified spin-glass Hamiltonian with crystal fields, recovering known replica-trick free energies and deriving a new de Almeida-Thouless line, subject to assumed order-parame...

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