On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field

Wei-Kuo Chen

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arXiv · 2103.04802

On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field

Wei-Kuo Chen

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Abstract

We study the phase transition of the free energy in the Sherrington-Kirkpatrick mean-field spin glass model with centered Gaussian external field. We show that the corresponding Almeida-Thouless line is the correct transition curve that distinguishes between the replica symmetric and replica symmetry breaking solutions in the Parisi formula.

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BibTeX RIS

Wei-Kuo Chen. 2021-03-08. On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field. https://arxiv.org/abs/2103.04802

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