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Chaos in spin glasses revealed through thermal boundary conditions

机译:通过热边界条件揭示了旋转玻璃中的混沌

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We study the fragility of spin glasses to small temperature perturbations numerically using population annealing Monte Carlo. We apply thermal boundary conditions to a three-dimensional Edwards-Anderson Ising spin glass. In thermal boundary conditions all eight combinations of periodic versus antiperiodic boundary conditions in the three spatial directions are present, each appearing in the ensemble with its respective statistical weight determined by its free energy. We show that temperature chaos is revealed in the statistics of crossings in the free energy for different boundary conditions. By studying the energy difference between boundary conditions at free-energy crossings, we determine the domain-wall fractal dimension. Similarly, by studying the number of crossings, we determine the chaos exponent. Our results also show that computational hardness in spin glasses and the presence of chaos are closely related.
机译:我们使用群体退火蒙特卡洛数值研究了自旋玻璃对小温度扰动的脆弱性。我们将热边界条件应用于三维Edwards-Anderson Ising自旋玻璃。在热边界条件下,存在三个空间方向上周期和反周期边界条件的所有八种组合,每种组合都以其各自的统计权重(由其自由能确定)出现在集合中。我们表明,在不同边界条件下,自由能交叉的统计数据揭示了温度混乱。通过研究自由能交叉处边界条件之间的能量差,我们确定了畴壁的分形维数。同样,通过研究穿越次数,我们可以确定混沌指数。我们的结果还表明,旋转玻璃的计算硬度与混沌的存在密切相关。

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