We consider the homogenization problem of the Liouville equation for non-crystalline materials namely, the coefficients are given by the composition of stationary functions with stochastic deformations. We show the asymptotic equations, which involves both macroscopic and microscopic scales.

中文翻译：

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超越平稳遍历设置的 Liouville 方程的均质化

我们考虑非晶材料的 Liouville 方程的均质化问题，即系数由具有随机变形的平稳函数的组合给出。我们展示了涉及宏观和微观尺度的渐近方程。