Non-Equilibrium Problems in Collisional Kinetic and Quantum Theory

碰撞动力学和量子理论中的非平衡问题

• 批准号: 0507038
• 负责人: Irene Gamba
• 金额: $ 21.46万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-07-15 至 2008-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0507038&HistoricalAwards=false
• 关键词: Non; Equilibrium; Problems; Collisional; Kinetic

Abstract, DMS 0507038, I Gamba, University of TexasTitle: Non-equilibrium problems in collisional kinetic and quantum theory The aim of this proposal is to continue a broad program in analytical and numerical problems for collisional kinetic statistical equations corresponding to the Boltzmann integro-differential equation and quantum hydrodynamic models. New tools from non-linear analysis will be developed, as well as computational strategies.The statistical models considered relate to energy dissipation. An example is the model of a gas in which particles are represented as hard spheres and collisions are inelastic. Another physical scenario is granular flow. The scales considered in the project include those occurring in nano-science.

摘要，DMS 0507038，I Gamba，德克萨斯大学标题：碰撞动力学和量子理论中的非平衡问题这项建议的目的是继续在与玻尔兹曼积分-微分方程和量子流体力学模型相对应的碰撞动力学统计方程的分析和数值问题上继续广泛的程序。将开发来自非线性分析的新工具以及计算策略。所考虑的统计模型与能量耗散有关。一个例子是气体模型，其中粒子被表示为坚硬的球体，碰撞是非弹性的。另一种物理场景是颗粒流。该项目考虑的尺度包括纳米科学中的尺度。