On analyticity with respect to the replica number in random energy models: I. An exact expression for the moment of the partition function

DOI10.1088/1742-5468/2009/03/P03010zbMath1456.82523arXiv0812.4654OpenAlexW3103667989MaRDI QIDQ3301032

Kenzo Ogure, Yoshiyuki Kabashima

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4654

zbMATH Keywords

disordered systems (theory)rigorous results in statistical mechanicsspin glasses (theory)

Mathematics Subject Classification ID

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) Exactly solvable models; Bethe ansatz (82B23)

Related Items (2)

The discrete random energy model and one step replica symmetry breaking ⋮ On analyticity with respect to the replica number in random energy models: II. Zeros on the complex plane

Cites Work

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• The Parisi formula
• Introduction to the Replica Theory of Disordered Statistical Systems
• Random-energy model: An exactly solvable model of disordered systems
• Complex replica zeros of ±JIsing spin glass at zero temperature
• Universality classes for extreme-value statistics
• Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Size
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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