English

Aging dynamics of heterogeneous spin models

Disordered Systems and Neural Networks 2009-11-10 v1 Statistical Mechanics

Abstract

We investigate numerically the dynamics of three different spin models in the aging regime. Each of these models is meant to be representative of a distinct class of aging behavior: coarsening systems, discontinuous spin glasses, and continuous spin glasses. In order to study dynamic heterogeneities induced by quenched disorder, we consider single-spin observables for a given disorder realization. In some simple cases we are able to provide analytical predictions for single-spin response and correlation functions. The results strongly depend upon the model considered. It turns out that, by comparing the slow evolution of a few different degrees of freedom, one can distinguish between different dynamic classes. As a conclusion we present the general properties which can be induced from our results, and discuss their relation with thermometric arguments.

Keywords

Cite

@article{arxiv.cond-mat/0305044,
  title  = {Aging dynamics of heterogeneous spin models},
  author = {Andrea Montanari and Federico Ricci-Tersenghi},
  journal= {arXiv preprint arXiv:cond-mat/0305044},
  year   = {2009}
}

Comments

39 pages, 36 figures

R2 v1 2026-07-22T10:49:36.971Z