Dynamical approach to the TAP equations for the Sherrington-Kirkpatrick model

DOI10.1007/s10955-021-02773-7zbMath1473.82015arXiv2102.10178OpenAlexW3162691963MaRDI QIDQ2034670

Arka Adhikari, Per von Soosten, Christian Brennecke, Horng-Tzer Yau

Publication date: 22 June 2021

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.10178

zbMATH Keywords

Sherrington-Kirkpatrick spin glassThouless-Anderson-Palmer (TAP) equations

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) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Statistical mechanics of magnetic materials (82D40)

Related Items (8)

The replica symmetric formula for the SK model revisited ⋮ On the concavity of the TAP free energy in the SK model ⋮ TAP equations are repulsive ⋮ The TAP free energy for high-dimensional linear regression ⋮ The two point function of the SK model without external field at high temperature ⋮ On the TAP equations via the cavity approach in the generic mixed \(p\)-spin models ⋮ Thouless-Anderson-Palmer equations for the Ghatak-Sherrington mean field spin glass model ⋮ The de Almeida-Thouless line in hierarchical quantum spin glasses

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