1994/12/16 by Silvio Franz, S. Franz, M. Ney-Nifle +1 · 2 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
paper · pdf · doi:10.1088/0305-4470/28/9/012
19 pages, Latex
arxiv created 1994/12/16 · openalex publication_date 1995/05/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the correlations between two equilibrium states of SK spin glasses at different temperatures or magnetic fields. The question, presiously investigated by Kondor and Kondor and Végsö, is approached here constraining two copies of the same system at different external parameters to have a fixed overlap. We find that imposing an overlap different from the minimal one implies an extensive cost in free energy. This confirms by a different method the Kondor’s finding that equilibrium states corresponding to different values of the external parameters are completely uncorrelated. We also consider the Generalized Random Energy Model of Derrida as an example of system with strong correlations among states at different temperatures. 1Unité propre du CNRS, associée à l’Ecole Normale Supérieure et à l’Université de Paris Sud 2