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Testing statics-dynamics equivalence at the spin-glass transition in three dimensions

机译:在三个维度上测试自旋玻璃化转变时的静动力学等效性

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摘要

The statics-dynamics correspondence in spin glasses relate nonequilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). Here we employ statics-dynamics equivalence to study the Ising spin-glass critical behavior in three dimensions. By means of Monte Carlo simulation, we follow the growth of the coherence length (the size of the glassy domains), on lattices too large to be thermalized. Thanks to the large coherence lengths we reach, we are able to obtain accurate results in excellent agreement with the best available equilibrium computations. To do so, we need to clarify the several physical meanings of the dynamic exponent close to the critical temperature.
机译:旋转玻璃中的静力学对应关系将大样本(实验领域)上的非平衡结果与小系统(理论计算的典型领域)上计算出的平衡量联系起来。在这里,我们采用静力学-动力学等效性来研究三维伊辛旋转玻璃的临界行为。通过蒙特卡洛模拟,我们跟踪了相干长度(玻璃状晶畴的大小)在太大而无法热化的晶格上的增长。由于我们达到了较大的相干长度,因此我们能够与最佳的可用平衡计算完全吻合地获得准确的结果。为此,我们需要阐明接近临界温度的动态指数的几种物理含义。

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