Mode Coupling Theory for Small Scale

(1)讨论了一个简单的玩具模型和一个由两个变量组成的简单随机模型。近似解类似于MCT方程，满足Schmitz所示的详细平衡。如果我们将变量数推广为N(N&gt；2)，在N-&gt；的情况下，近似解就变成了精确解。在试图得到Leutheusser和Goetze给出的MCT之后，理解二变量MCT和广义MCT之间的定性差异是一个新的目的。(2)动态密度泛函理论：有很多研究和研究是基于连续介质的概念来理解晶体表面和界面上的微观尺度现象。最近，这一理论被认为与MCT有着密切的联系，可以应用于微观尺度的现象。

(1) A simple toy modelA simple stochastic model consisting of two variables is discussed. An approximate solution is similar to that of MCT equation which satisfies the detailed balance as shown by Schmitz. If we generalize the number of variables as N (N>2), the approximate solution becomes an exact solution in the case of N->. It is a new purpose to understand qualitative differences between two-variable MCT and the generalized MCT after trying to obtain MCT given by Leutheusserand Goetze.(2) Dynamical Density Functional Theory :There are a lot of studies and researches to understand phenomena of microscopic scale which occur at the surface and interface of crystals on the basis of a concept of continuum. Recently this theory is understood to have tight relation with MCT can be applied to microscopic scale phenomena.