标题： 比热指数和4D随机场伊辛模型中的修改超尺度关系 显示英文标题

标题： Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model

摘要： 我们报告了对四维随机场伊辛模型比热临界指数$\alpha$的高精度数值估计。 我们的结果$\alpha = 0.12(1)$表明比热行为发散，并且与通过我们的$\theta$估计值以及异常维度$\eta$和$\bar{\eta}$得到的修改超标度关系估计一致。 我们的分析受益于对两种随机场分布（即高斯分布和泊松分布）的模型在零温度下的高统计量数值模拟，以及无序系统中有限尺寸标度和重加权方法的最新进展。 还提供了所使用的最大流算法的临界慢化指数$z$的原始估计。 显示英文摘要

摘要： We report a high-precision numerical estimation of the critical exponent $\alpha$ of the specific heat of the random-field Ising model in four dimensions. Our result $\alpha = 0.12(1)$ indicates a diverging specific-heat behavior and is consistent with the estimation coming from the modified hyperscaling relation using our estimate of $\theta$ via the anomalous dimensions $\eta$ and $\bar{\eta}$. Our analysis benefited form a high-statistics zero-temperature numerical simulation of the model for two distributions of the random fields, namely a Gaussian and Poissonian distribution, as well as recent advances in finite-size scaling and reweighting methods for disordered systems. An original estimate of the critical slowing down exponent $z$ of the maximum-flow algorithm used is also provided.