期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2016/01/013301
关键词
spin glasses (theory)
资金
- National Science Foundation [DMR-1207036]
- Max Planck Institute for the Physics of Complex Systems (MPIPKS), Dresden
We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e. in the mean-field regime). The system is quenched to a temperature well below the transition temperature T-c and the growth of correlations is observed. The spatial decay of the correlations at distances less than the dynamic correlation length xi(t) agrees quantitatively with the predictions of a static theory, the 'metastate', evaluated according to the replica symmetry breaking (RSB) theory. We also compute the dynamic exponent z(T) defined by xi(t) alpha t(1/z(T)) and find that it is compatible with the mean-field value of the critical dynamical exponent for short range spin glasses.
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