期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 52, 期 22, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab1364
关键词
disordered systems; spin glasses; out-of-equilibrium dynamics; numerical simulations
资金
- European Research Council (ERC) under the European Unions Horizon 2020 research and innovation program [694925]
- MINECO (Spain) (FEDER) [FIS2015-65078-C2, FIS2016-76359-P]
- Junta de Extremadura (Spain) (FEDER) [GRU10158, IBI16013]
Recent high precision experimental results on spin-glass films ask for a detailed understanding of the domain-growth dynamics of two-dimensional spin glasses. To achieve this goal, we numerically simulate the out-equilibrium dynamics of the Ising spin glass for a time that spans close to twelve orders of magnitude (from picoseconds to order of a second), in systems large enough to avoid finite-size effects. We find that the time-growth of the size of the glassy domains is excellently described by a single scaling function. A single time-scale tau (T) controls the dynamics. tau (T) diverges upon approaching the T = 0 critical point. The divergence of tau (T -> 0) is Arrhenius-like, with a barrier height that depends very mildly on temperature. The growth of this barrier-height is best described by critical dynamics. As a side product we obtain an impressive confirmation of universality of the equilibrium behavior of two-dimensional spin-glasses.
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