Mode Coupling Theory for Small Scale

小规模模式耦合理论

• 批准号: 11640382
• 负责人: KAWASAKI Kyozi
• 金额: $ 1.54万
• 依托单位: Chubu University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640382/
• 关键词: Mode Coupling Theory; Dynamic Density Functional Theory; Stochastic Model; Relaxation Time; ストカスチックモデル; ホッピング; エイジング; MCT; 微小スケール; モンテカルロシミュレーション

(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.

(1)一个简单的玩具模型一个简单的随机模型由两个变量进行了讨论。近似解类似于满足Schmitz详细平衡的MCT方程。如果我们将变量的个数推广为N（N>2），则近似解在N->的情况下变为精确解。在试图得到Leutheusser和Goetze给出的MCT之后，了解二元MCT与广义MCT的性质差异是一个新的目的。(2)动态密度泛函理论：有很多的研究和研究，以了解微观尺度的现象，发生在表面和界面的晶体的基础上的概念连续。最近，人们认识到这一理论与MCT有着密切的联系，可以应用于微观尺度的现象。

项目成果

Kyozi Kawasaki: "Genesis, Selected Applications, and Future Prospects of the Mode Coupling Theory"Physica. A281. 348-360 (2000)

Kyozi Kawasaki：“模式耦合理论的起源、选定应用和未来展望”物理学。

川崎恭治: "Path integral formulation of dynamical density functional egifordense H*ic"Zeitschrift fur PlysiK B. 103. 423-431 (1997)

Kyoji Kawasaki：“动态密度函数 egifordense H*ic 的路径积分公式”Zeitschrift Fur PlysiK B. 103. 423-431 (1997)

川崎恭治: "Mesoscopic kinetic equation and mode coupling for super curled nol. liquid"Physica A. 243. 25-36 (1997)

川崎恭二：“超卷曲非液体的介观动力学方程和模式耦合”Physica A. 243. 25-36 (1997)

川崎恭治: "Slow Dynamics in condensed matter : spinodal decomposition and glass transition"Physica A. 224. 1-8 (1996)

川崎恭二：“凝聚态物质的慢动力学：旋节线分解和玻璃化转变”Physica A. 224. 1-8 (1996)

川崎恭治: "A simple model for the formulation of heterogenous structure"Progress of Theoretical Physics Supplement. 126. 309-312 (1997)

Kyoji Kawasaki：“异质结构表述的简单模型”理论物理进展增刊 126. 309-312 (1997)。