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T = 0 随机场伊辛模型中的滞后现象:超越亚稳动力学

Hysteresis in the T=0 random-field Ising model: beyond metastable dynamics.

作者信息

Salvat-Pujol Francesc, Vives Eduard, Rosinberg Martin-Luc

机构信息

Departament d'Estructura i Constituents de la Matèria, Facultat de Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Catalonia, Spain.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jun;79(6 Pt 1):061116. doi: 10.1103/PhysRevE.79.061116. Epub 2009 Jun 19.

Abstract

We present a numerical study of the zero-temperature response of the Gaussian random-field Ising model to a slowly varying external field, allowing the system to be trapped in microscopic configurations that are not fully metastable. This modification of the standard single-spin-flip dynamics results in an increase in dissipation (hysteresis) somewhat similar to that observed with a finite driving rate. We then study the distribution of avalanches along the hysteresis loop and perform a finite-size scaling analysis that shows good evidence that the critical exponents associated to the disorder-induced phase transition are not modified.

摘要

我们对高斯随机场伊辛模型在零温度下对缓慢变化的外场的响应进行了数值研究,该研究允许系统被困在并非完全亚稳的微观构型中。对标准单自旋翻转动力学的这种修改导致耗散(滞后)增加,这在某种程度上类似于在有限驱动速率下观察到的情况。然后,我们研究了沿滞后回线的雪崩分布,并进行了有限尺寸标度分析,结果有力地表明与无序诱导相变相关的临界指数没有改变。

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