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Spin glasses, glasses and granular materials

机译:旋转玻璃,玻璃和粒状材料

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摘要

The properties of a frustrated lattice gas model that combines features of spin glasses and percolation are reviewed. This model, which contains frustration as an essential ingredient, displays glassy behaviour at high densities or low temperatures and in the extreme case of quenched disorder exhibits two transitions: a percolation transition at a temperature T-p and a second transition at lower temperature T-0. Numerically it is found that T-p marks the onset of long-time stretched-exponential decay and the breakdown of the Stokes-Einstein relation, while T-0 coincides with the temperature where the diffusion coefficient vanishes and the nonlinear susceptibility diverges. The model is also applied to describe the complex behaviour of granular materials. The mean-field version of the model shows analogies with the mean-field version of the p-spin-glass models. These models have been much studied, since the dynamical behaviour is described by the same equations as the mode coupling theory for simple liquids. [References: 29]
机译:审查了结合了自旋玻璃和渗滤特征的沮丧晶格气体模型的性质。该模型包含挫折感作为基本成分,在高密度或低温下显示出玻璃态行为,在淬火无序的极端情况下,表现出两个转变:在温度T-p发生的渗滤转变和在较低温度T-0的第二转变。从数值上发现,T-p标志着长时间拉伸指数衰减的开始和斯托克斯-爱因斯坦关系的破裂,而T-0与扩散系数消失且非线性磁化率发散的温度一致。该模型还用于描述粒状材料的复杂行为。该模型的平均场版本与p旋转玻璃模型的平均场版本相似。对这些模型进行了大量研究,因为动力学行为是通过与简单液体的模式耦合理论相同的方程式描述的。 [参考:29]

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