天元系列活动|数学热力学:复杂系统的新自然哲学
报 告 人: 钱紘
所在单位: 美国华盛顿大学
报告地点: 数学楼三楼会议室
报告时间: 2019-06-27 15:00:00
报告简介:

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.




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主讲人简介:
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。