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

DOI10.1214/21-ECP439zbMath1480.60287arXiv2103.04802OpenAlexW3213207537MaRDI QIDQ2078239

Wei-Kuo Chen

Publication date: 28 February 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04802

zbMATH Keywords

Sherrington-Kirkpatrick modelParisi formulaAlmeida-Thouless line

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

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Cites Work

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• Broken replica symmetry bounds in the mean field spin glass model
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• The Parisi formula
• A dynamic programming approach to the Parisi functional
• The Sherrington-Kirkpatrick Model
• Mean Field Models for Spin Glasses