Classical Heisenberg spins with long-range interactions: relaxation to equilibrium for finite systemsReportar como inadecuado




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1 JAD - Laboratoire Jean Alexandre Dieudonné 2 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

Abstract : Systems with long-range interactions often relax towards statistical equilibrium over timescales that diverge with N , the number of particles. A recent work S. Gupta and D. Mukamel, J. Stat. Mech.: Theory Exp. P03015 2011 analyzed a model system comprising N globally coupled classical Heisenberg spins and evolving under classical spin dynamics. It was numerically shown to relax to equilibrium over a time that scales superlinearly with N . Here, we present a detailed study of the Lenard-Balescu operator that accounts at leading order for the finite-N effects driving this relaxation. We demonstrate that corrections at this order are identically zero, so that relaxation occurs over a time longer than of order N , in agreement with the reported numerical results.





Autor: Julien Barré - Shamik Gupta -

Fuente: https://hal.archives-ouvertes.fr/



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