论文标题
动力学限制模型动力学的理论
Theory of Kinetically-Constrained-Models Dynamics
论文作者
论文摘要
动力学约束模型的平均场理论是通过考虑Bethe晶格上的Fredrickson-Andersen模型来开发的。使用在实际数值实验中观察到的动力学的某些属性，我们得出等于模式耦合理论的动力学方程。与广泛模型中的数值模拟相比，对动态指数获得的分析预测成功，包括连通性和促进性的通用值，随机固定和波动的促进。因此，该理论是针对连续和不连续的过渡的验证，也是以对数衰减为特征的较高临界点的情况。
The mean-field theory of Kinetically-Constrained-Models is developed by considering the Fredrickson-Andersen model on the Bethe lattice. Using certain properties of the dynamics observed in actual numerical experiments we derive asymptotic dynamical equations equal to those of Mode-Coupling-Theory. Analytical predictions obtained for the dynamical exponents are successfully compared with numerical simulations in a wide range of models, including the case of generic values of the connectivity and the facilitation, random pinning and fluctuating facilitation. The theory is thus validated for both continuous and discontinuous transitions and also in the case of higher order critical points characterized by logarithmic decays.
