Statistical Physical Study for Mixing, Trasport and Dissipation due to Chaos in Non-Equilibrium Open Systems

非平衡开放系统中混沌引起的混合、传输和耗散的统计物理研究

基本信息

批准号：
03640339
负责人：
OKAMOTO Hisao
金额：
$ 1.02万
依托单位：
Kochi University (1993)Kyushu University (1991-1992)
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1991
资助国家：
日本
起止时间：
1991 至 1993
项目状态：
已结题

项目摘要

Due the progress of a computer technology, several properties of nonlinear-nonequilibrium systems are clarified. Since then the studies of nonlinear dynamics on the bases of dissipative dynamical systems were started and encouraged for Japanese scientists, particularly, physicists, mathematicians, biologists, chemists, engineers, geologists and even for socialists. Prominent properties of chaotic orbits are represented by (A) several scaling laws for spatial and temporal scales and (B) highly coherent behaviors or strong time correlations due to order in chaos.Our goal is to construct a statistical-dynamical theory for mixing, transport and disippation due to chaos in non-equilibrium open systems. Due to the above guiding principles, we have performed successfully the following themes :1) Energy dissipation and its fluctuations in chaotic dynamical systems.2) Momentum diffusion in 2-dimensional maps amd Hamiltonian dynamical systems.3) Advective diffusion and mixing of particles in Hamiltonian dynamical systems.4) Characterization and its crossover effect of local structures of chaotic attractors in terms of coarse-graining in variable spatio-temporal scales.5) Scale dependence of the fractal dimension of spatio-temporal fluctuation in atomospheric flow.6) Statistical-physical theory of eddy viscosity coefficient for two-dimensional inviscid barotropic fluid.

由于计算机技术的进展，阐明了非线性 - 非核系统的几种属性。从那时起，对日本科学家，尤其是物理学家，数学家，生物学家，化学家，工程师，地质学家，甚至针对社会主义者的研究，对非线性动力学的研究开始并鼓励了耗散动力学系统基础。混乱轨道的突出特性由（a）空间和时间尺度的几个缩放定律以及（b）高度相干的行为或由于混乱中的顺序而引起的高度相干的行为或较强的时间相关性。我们的目标是构建一种统计性 - 动态理论，用于混合，由于非平衡开放系统中的混合，混合，运输和误解。由于上述指导原则，我们成功地执行了以下主题：1）能量耗散及其在混乱动力系统中的波动。2）动量扩散在二维图中AMD Hamiltonian动力学系统。3）3）对局部动力学的跨性别效率的粒子在粒子中的反流扩散和颗粒的混合。时空尺度。5）卵形流动流中时空波动的分形维度的量表依赖性。6）二维无粘性双粒子流体的涡流粘度系数的统计 - 物理理论。