Nonequilibrium thermodynamics of chemical reaction systems

by Hao Ge (Peking University)

Tuesday 9 Aug 2016, 13:30 → 13:30 Europe/Stockholm

112:028

Nonequilibrium thermodynamics and statistical physics in terms of stochastic models entered a stage of vigorous development since 1970s, which well fit the development of advanced experimental techniques in modern physical chemistry and biochemistry. I will discuss our recent stochastic approaches to investigate the nonequilibrium thermodynamics of chemical reaction systems. We show that the entropy production rate can be decomposed into the housekeeping heat and the decreasing rate of relative entropy, both of which are nonnegative, followed by a more stronger version of Clausius inequality. We further proved that in the macroscopic limit by merely allowing the molecular numbers to infinite, a generalized macroscopic free energy and its balance equation emerge. The balance equation is valid generally in isothermal driven systems. A general fluctuation dissipation theorem for stochastic reaction kinetics is also proved. Such an emergent ``law'' is independent of underlying kinetic details. The mathematical theory illustrates how a novel macroscopic dynamic law emerge from the mesoscopic kinetics in a multi-scale system.