Correlation timescales in the Sherrington-Kirkpatrick model

2001/01/12 by Alain Billoire, A. Billoire, Enzo Marinari · 7 citations
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1088/0305-4470/34/50/101

published as J. Phys. A 34, L727-L734 (2001) · 5 pages including 9 .ps figures, latex

arxiv created 2001/01/12 · openalex publication_date 2001/12/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We investigate the dynamical behaviour of the Sherrington-Kirkpatrick mean field model of spin glasses by numerical simulation. All the timescales τ x we have measured behave as ln (τ x ) ∝ N , where N is the number of spins and ≃1/3. This is true whether the autocorrelation function used to define τ x is sensitive to the full reversal of the system or not.

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