Stochastic Nonlinear Dynamics: Many Degrees of Freedom Far from Equilibrium (Physics)

随机非线性动力学：远离平衡的许多自由度（物理学）

• 批准号: 8907755
• 负责人: Charles Doering
• 金额: $ 9.44万
• 依托单位: Clarkson University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-08-15 至 1993-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8907755&HistoricalAwards=false
• 关键词: Stochastic; Nonlinear; Dynamics; Many; Degrees

It is proposed to study the stationary and dynamic properties of far-from-equilibrium nonlinear stochastic dynamics systems. It is intended to elucidate the methematical structure of these complex systems while studying specific physical problems in fluid dynamics, non equilibrium statistical physics and quantum field theory. Reaction diffusion equations for the kinetic and stationary states of chemical reactions will be treated microscopically. Finite dimensional models will be investigated starting from their infinite dimensional hydrodynamic formulation.

提出了研究静态和动态 远离平衡非线性随机系统的性质 动力学系统 它旨在阐明数学 这些复杂系统的结构，同时研究具体的 流体动力学中的物理问题，非平衡 统计物理学和量子场论。 反应 扩散方程的动力学和稳态 化学反应将在显微镜下进行处理。 有限 三维模型将从他们的 无穷维流体动力学公式