Thouless–Anderson–Palmer Equations for the Ghatak–Sherrington Mean Field Spin Glass Model

Antonio Auffinger; Cathy Xi Chen

doi:10.1007/s10955-021-02803-4

Thouless–Anderson–Palmer Equations for the Ghatak–Sherrington Mean Field Spin Glass Model

Antonio Auffinger^*, Cathy Xi Chen

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We derive the Thouless–Anderson–Palmer (TAP) equations for the Ghatak and Sherrington model (J Phys C 10(16):3149–3156, 1977). Our derivation, based on the cavity method, holds at high temperature and at all values of the crystal field. It confirms the prediction of Yokota (J Phys Condens Matter 4(10):2615–2622, 1992).

Original language	English (US)
Article number	22
Journal	Journal of Statistical Physics
Volume	184
Issue number	2
DOIs	https://doi.org/10.1007/s10955-021-02803-4
State	Published - Aug 2021

Keywords

Ghatak–Sherrington
Spin glasses
TAP Equations

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-021-02803-4

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title = "Thouless–Anderson–Palmer Equations for the Ghatak–Sherrington Mean Field Spin Glass Model",

abstract = "We derive the Thouless–Anderson–Palmer (TAP) equations for the Ghatak and Sherrington model (J Phys C 10(16):3149–3156, 1977). Our derivation, based on the cavity method, holds at high temperature and at all values of the crystal field. It confirms the prediction of Yokota (J Phys Condens Matter 4(10):2615–2622, 1992).",

keywords = "Ghatak–Sherrington, Spin glasses, TAP Equations",

author = "Antonio Auffinger and Chen, {Cathy Xi}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

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AU - Chen, Cathy Xi

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N2 - We derive the Thouless–Anderson–Palmer (TAP) equations for the Ghatak and Sherrington model (J Phys C 10(16):3149–3156, 1977). Our derivation, based on the cavity method, holds at high temperature and at all values of the crystal field. It confirms the prediction of Yokota (J Phys Condens Matter 4(10):2615–2622, 1992).

AB - We derive the Thouless–Anderson–Palmer (TAP) equations for the Ghatak and Sherrington model (J Phys C 10(16):3149–3156, 1977). Our derivation, based on the cavity method, holds at high temperature and at all values of the crystal field. It confirms the prediction of Yokota (J Phys Condens Matter 4(10):2615–2622, 1992).

KW - Ghatak–Sherrington

KW - Spin glasses

KW - TAP Equations

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ER -

Thouless–Anderson–Palmer Equations for the Ghatak–Sherrington Mean Field Spin Glass Model

Abstract

Keywords

ASJC Scopus subject areas

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