Mode Coupling Theory for Small Scale

讨论了一个由两个变量组成的简单随机模型。近似解类似于MCT方程的近似解，满足Schmitz所示的详细平衡。如果我们将变量的数目推广为N (N>2)，则近似解在N->的情况下成为精确解。在尝试得到Leutheusserand Goetze给出的MCT之后，理解双变量MCT与广义MCT的质的区别是一个新的目的。(2)动态密度泛函理论：从连续统的概念出发，对晶体表面和界面的微观现象进行了大量的研究和研究。近年来，这一理论被认为与MCT有着密切的关系，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.