Dynamics of dilute disordered models: A solvable case
Dynamics of dilute disordered models: A solvable case
复制标题
稀无序模型的动力学：一个可解的案例
DOI：
10.1209/epl/i2003-00226-8
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发表时间：
2002
期刊：
影响因子：
1.8
通讯作者：
L. Cugliandolo
中科院分区：
文献类型：
--
作者：
G. Semerjian;L. Cugliandolo
研究了具有两体相互作用和随机交换的稀球模型的动力学。我们分析了朗之万方程，并引入泛函变分方法来研究一般的稀疏无序模型。交叉温度取代了完全连接极限的动态转变。存在两个渐近区域，一个由相互作用谱密度的中心带决定，另一个较慢的由高连接性位置上的局域构型决定。我们面对这个模型的行为与真正的眼镜的行为。
We study the dynamics of a dilute spherical model with two-body interactions and random exchanges. We analyze the Langevin equations and we introduce a functional variational method to study generic dilute disordered models. A crossover temperature replaces the dynamic transition of the fully connected limit. There are two asymptotic regimes, one determined by the central band of the spectral density of the interactions and a slower one determined by localized configurations on sites with high connectivity. We confront the behavior of this model to the one of real glasses.