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萨本栋讲坛202
报告题目:
Neo-Gibbsian Statistical Energetics with Applications to Nonequilibrium Cells
报告人:
钱 紘 教授
专家单位:
西湖大学
报告地点:
海韵园物理楼552
报告时间:
2025年10月24日(周五) 14:30
学术系列:
萨本栋讲坛

Abstract:

Generalization through novel interpretations of the inner logic of the century-old Gibbs' statistical thermodynamics is presented: i) Identifying kB→0 as classical energetics, one directly derives a pair of thermodynamic variational formulae that dictate all the more familiar 1/T=dS(E)/dE, E=d{F(T)/T}/d(1/T), and S(E)=−dF(T)/dT in equilibrium, which is maintained by a duality symmetry with one-to-one relation between Teq(E)=argminT{E/T−F(T)/T} and Eeq(T)=argminE{E−TS(E)}. ii) In contradistinction, taking derivative of the statistical free energy w.r.t. T, a mesoscopic energetics with fluctuations emerges: This yields two information entropy functions which historically appeared 50 years postdate Gibbs' theory. iii) Combining the above pair of inequalities yields an irreversible thermodynamic potential ψ(T,E)≡{E−F(T)}/T−S(E)≥0 for nonequilibrium states. The second law of thermodynamics as a universal principle reflects ψ≥0 due to a disagreement between E and T as a dual pair. Our theory provides a new energetics of living cells which are nonequilibrium, complex entities under constant T, pressure p and chemical potential μ. ψ provides a “distance” between statistical data from a large ensemble of cells and a set of intrinsic energetic parameters that encode the information within. This is a joint work with B. Miao and Y.-S. Wu.

Bio:

Professor Hong Qian(钱紘教授) is currently a Chaired Professor at Westlake University, Hangzhou. He had been an Olga Jung Wan Endowed Professor of Applied Mathematics at University of Washington, Seattle. He received his B.A. in Astrophysics from Peking University and Ph.D. in Biochemistry from Washington University in St. Louis (with E.L. Elson), and worked as postdoctoral researcher at Univ. of Oregon (with J.A. Schellman) and Caltech (with J.J. Hopfield) on biophysical Chemistry and Mathematical Biology. He was elected a fellow of the American Physical Society in 2010. Professor Qian’s current research interest is the probabilistic foundation of statistical equilibrium and nonequilibrium physics and their application to biology, physics, and data science. His recent, coauthored book “Stochastic Chemical Reaction Systems in Biology” was published by Springer in 2021.

报告人 钱 紘 教授 专家单位 西湖大学
报告地点 海韵园物理楼552 报告时间 2025年10月24日(周五) 14:30
学术系列 萨本栋讲坛