U.S.-New Zealand: Using 'Invariant Embedding' to make Higher Quality Rate Calculations

美国-新西兰：使用“不变嵌入”进行更高质量的费率计算

• 批准号: 8822853
• 负责人: Ronald Lovett
• 金额: $ 1.04万
• 依托单位: Washington University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-09-15 至 1991-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8822853&HistoricalAwards=false
• 关键词: U.S.; New; Zealand; Using; Invariant

This award will support collaborative research between Dr. Ronald Lovett of Washington University and Dr. John Lekner of Victoria University, Wellington. The investigators intend to develop a new methodology for solving macroscopic rate equations for microscopic processes governed by a Fokker.Plank equation, i.e., for a process in which passage over a barrier is induced by generalized Browian motion. In the 40 years since the Fokker.Plank equation was developed, experience has only strengthened the belief that this equation provides a good description. But solutions have only been clearly identified in simple limiting cases. Developing a new methodology, as these researchers propose, has the potential for major impact on understanding all kinetic processes which can be described with equation. The project initiates formal cooperation between these scientists, with long.standing mutual interests and professional relationships. The research is a throughly joint effort involving the chemistry background of Lovett and the physics expertise of Lekner, and this collaboration is essential to the success of the project. The research should add considerely to knowledge in basic mathematical aspects of statistical mechanics, along with potential application to a range of chemical and physical rate processes.

该奖项将支持罗纳德博士 华盛顿大学的洛维特和维多利亚的约翰·莱克纳博士 惠灵顿大学。 研究人员打算开发一种新的 宏观微观速率方程的求解方法 由福克普朗克方程控制的过程，即，对于一个进程， 其中通过障碍物是由广义布朗运动引起的 议案 在福克普朗克方程被提出的40年里， 经验只是加强了这样一种信念， 提供了一个很好的描述。 但解决方案只有在 在简单的极限情况下。 开发一种新的方法， 正如这些研究人员所提出的， 理解所有可以用以下描述的动力学过程 方程 该项目启动了这些科学家之间的正式合作， 长期的共同利益和专业关系。 这项研究是一项彻底的联合努力， 洛维特的背景和莱克纳的物理学专业知识， 合作是项目成功的关键。 的 研究应考虑增加基础数学知识 统计力学的各个方面，沿着潜在的应用， 一系列化学和物理速率过程。