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

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abstract

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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2025 1

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CONDITIONAL 1

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Guerra interpolation for inverse freezing

cond-mat.dis-nn · 2025-05-09 · conditional · novelty 6.0

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-parameter self-averaging.

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  • Guerra interpolation for inverse freezing cond-mat.dis-nn · 2025-05-09 · conditional · none · ref 53 · internal anchor

    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-parameter self-averaging.