1998/04/08 by Giulio Biroli, G. Biroli, Rémi Monasson +1 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1088/0305-4470/31/21/001
published as J. Phys. A: Math. Gen. 31 No 21 (29 May 1998)L391-L396 · 5 pages RevTex file, accepted for publication in J.Phys.A
arxiv created 1998/04/08 · openalex publication_date 1998/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The Glauber dynamics of the Hopfield model at low storage level is considered. We analytically derive the spectrum of relaxation times for large system sizes. The longest timescales are gathered in families, each family being in one-to-one correspondence with a stationary (not necessarily stable) point of the static mean-field free energy. Inside a family, the timescales are given by the reciprocals (of the absolute values) of the eigenvalues of the free-energy Hessian matrix.