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Corrections to scaling in the droplet picture of spin glasses

2002/03/22 by M. A. Moore, Moore, M. A.
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0203469

3 pages, no figures

arxiv created 2002/03/22 · openalex publication_date 2002/03/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The energy of a droplet of linear extent L in the ``droplet theory'' of spin glasses goes as Lθ for large L. It is argued that this formula needs to be modified by the addition of a scaling correction L in order to accurately describe droplet energies at the length scales currently probed in numerical simulations. With this simple modification all equilibrium numerical data on Ising spin glasses in two, three and four dimensions becomes compatible with the droplet model.

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