Time：17:00-17:45, Wednesday, November 13 2024
Venue: E10-212
Speaker：Hong Qian, University of Washington Seattle
Biography: Professor Qian (Q=Ch) received his B.A. in Astrophysics from Peking University in China, and his Ph.D. in Biochemistry and Biophysics from Washington University School of Medicine in St. Louis. Subsequently, he worked as postdoctoral researcher at University of Oregon and Caltech on biophysical chemistry and mathematical biology. Before joining the University of Washington, he was an assistant professor of Biomathematics at UCLA School of Medicine. From 1992-1994, he was a fellow with the Program in Mathematics and Molecular Biology (PMMB), an NSF-funded multi-university consortium. He was elected a fellow of the American Physical Society in 2010.
Title: Stochastic Kinetics/Kinematics Dictates Energetics/Hamiltonian Dynamics
Abstract: Entropy, or negative large deviation rate function, as a mathematical concept is to modern science what Newtonian velocity and calculus is to classical physics. It is an emergent concept at the borderline of deterministic and random descriptions of reality. Using two models, one from stochastic chemical kinetics and one from random walk in space, we show Hamilton-Jacobi equations arise as a universal equation for entropy in the limit of stationary data ad infinitum. While the former derives the Gibbs' isothermal chemical thermodynamics [1], the latter yields a novel Hamiltonian [2] that provides new insights into the classical notion of overdamped diffusion versus undamped mechanical motion, and more.
[1] Ge, H. and Qian, H. (2016) "Mesoscopic kinetic basis of macroscopic chemical thermodynamics: A mathematical theory". Phys. Rev. E 94, 052150.
[2] Miao, B. Qian, H. and Y.-S. Wu (2024) "Emergence of Newtonian deterministic causality from stochastic motions in continuous space and time". arXiv:2406.02405.
