报告题目：数学热力学：复杂系统的新自然哲学

报 告 人：钱紘教授 美国华盛顿大学

报告时间：2019年6月27日15:00-16:00

报告地点：数学楼三楼会议室

报告摘要：

There is a growing awareness toward a slow shifting in the foundation of the thermodynamic laws, from several macroscopic, empirical postulates concerning heat as a form of random motions, to derivable mathematical theorems based on stochastic dynamics of mesoscopic systems. It becomes increasingly clear that a stochastic dynamic description of the Nature is a very effective mathematical representation of the Reality. In this talk, I shall first introduce this mathematicothermodynamics as a set of mathematical results, and then apply them to two significant problems: (1) The Gibbsian macroscopic isothermal chemical thermodynamics via a mathematical limit by merely allowing the molecular numbers to be infinite. (2) A lift of a finite Markov process with irreversible cycles to an infinite system that establishes, in the long-time limit, the entropy production in the former is equal to the potential energy decrease in the latter. This result unifies the Clausius’ and Kelvin’s statements of the Second Law.

报告人简介：

         钱紘，美国华盛顿大学教授，北京大学定量生物学中心兼职教授。钱紘教授1982年毕业于北京大学天体物理学专业，1989年于华盛顿大学取得生物化学和生物物理博士学位，并在俄勒冈大学、加州理工学院作博士后。钱紘教授的研究方向为生命系统的随机动力学、系统生物学、生物物理化学、生物数学等。已在 Physics Reports、Annual Review of Physical Chemistry 等顶级综述期刊发表综述文章19篇，在 Nature、PNAS、Physical Review Letters、Biophysical Journal、 Journal of Chemical Physics、Physical Review E、SIAM Journal of Applied Mathematics、Journal of Mathematical Biology 等杂志发表研究论文150余篇。