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Nonlinear susceptibilities of spherical models

2006/12/04 by Leticia F. Cugliandolo, David S. Dean, Hajime Yoshino
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1088/1751-8113/40/16/003

published as J. Phys. A: Math. Theor. 40 (2007) 4285-4303. · 20 pages, 2 figs

arxiv created 2006/12/04 · openalex publication_date 2007/03/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The static and dynamic susceptibilities for a general class of mean-field random orthogonal spherical spin-glass models are studied. We show how the static and dynamical properties of the linear and nonlinear susceptibilities depend on the behaviour of the density of states of the two-body interaction matrix in the neighbourhood of the largest eigenvalue. Our results are compared with experimental results and also with those of the droplet theory of spin glasses.

Citations