Law of mass action and energetic variational approaches

Abstract: In this talk, we'll present a systematic variational derivation to generalize the mass action kinetics of chemical reactions with detailed balance using an energetic variational approach. Our approach starts with an energy dissipation law for a chemical reaction system,which could be argued to carry all the information of the dynamics. The dynamics of the system is determined by both the choice of the free energy, as well as the dissipation, the entropy production. This approach enables us to capture the coupling and competition of various mechanisms, including mechanical effects such as diffusion, drift in an electric field, as well as the thermal effects. We will also discuss several practical examples under this approach, in particular, the modeling of wormlike micellar solutions. This is a joint work with Bob Eisenberg, Pei Liu, Yiwei Wang and Tengfei Zhang.

general mathematics

Audience: researchers in the topic

Global Seminar on Mathematical Modeling and Applications

Series comments: Description: Occasional seminar on mathematical modeling and related topics

In light of the worldwide cancellations of meetings workshops and conferences many of us are forced to switch to online mode of communication. Thus following the example of many other initiatives we decided to organize a Global Seminar on Mathematical Modeling and Applications.

Zoom links will appear on the seminar website 15 minutes before talks begin so that we may convene a little earlier, get acquainted and/or catch-up.

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