论文标题
三维Ising自旋玻璃的许多热力学状态的证据
Evidence of many thermodynamic states of the three-dimensional Ising spin glass
论文作者
论文摘要
我们使用优化的人口退火蒙特卡洛（Monte Carlo）对三维的伊斯丁自旋玻璃进行了大规模模拟。我们的主要重点是调查有关有争议的统计数据的纯状态数量，表征了重叠功能顺序参数的中央峰值障碍实例的比例。我们观察到，该统计数据受到疾病平均重叠功能的综合中心重量的轻微波动的微妙而敏感的影响，这使得渐近生长行为非常难以识别。修改的统计数据有效地研究了这种相关性，并获得了基本单调的生长趋势。还研究了温度的效果，发现在较高温度下的生长速率较大。我们最新的模拟和降低差异数据分析表明，许多纯状态的图像最有可能和连贯。
We present a large-scale simulation of the three-dimensional Ising spin glass with Gaussian disorder to low temperatures and large sizes using optimized population annealing Monte Carlo. Our primary focus is investigating the number of pure states regarding a controversial statistic, characterizing the fraction of centrally peaked disorder instances, of the overlap function order parameter. We observe that this statistic is subtly and sensitively influenced by the slight fluctuations of the integrated central weight of the disorder-averaged overlap function, making the asymptotic growth behaviour very difficult to identify. Modified statistics effectively reducing this correlation are studied and essentially monotonic growth trends are obtained. The effect of temperature is also studied, finding a larger growth rate at a higher temperature. Our state-of-the-art simulation and variance reduction data analysis suggest that the many pure state picture is most likely and coherent.
