Notes on ferromagneticp-spin and REM

DOI10.1002/mma.1065zbMath1158.80301OpenAlexW2067447030MaRDI QIDQ3623094

Adriano Barra

Publication date: 16 April 2009

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1065

zbMATH Keywords

mean field modelsstatistical mechanicsanalytical mechanicsmathematical methods

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Classical and relativistic thermodynamics (80A10)

Related Items (5)

Notes on ferromagnetic diluted \(p\)-spin model ⋮ The relativistic Hopfield network: Rigorous results ⋮ Fluctuations of the magnetization in the \(p\)-spin Curie-Weiss model ⋮ PDE/statistical mechanics duality: relation between Guerra's interpolated \(p\)-spin ferromagnets and the Burgers hierarchy ⋮ Notes on the p-spin glass studied via Hamilton-Jacobi and smooth-cavity techniques

Cites Work

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• The mean field Ising model trough interpolating techniques
• A mathematical reformulation of Derrida's REM and GREM
• The thermodynamic limit in mean field spin glass models
• Broken replica symmetry bounds in the mean field spin glass model
• Fluctuations of the free energy in the REM and the \(p\)-spin SK models
• Irreducible free energy expansion and overlaps locking in mean field spin glasses
• Random-energy model: An exactly solvable model of disordered systems
• Course 5 An introduction to mean field spin glas theory: Methods and results

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