Special Session 66: Dynamics of biological materials across scales

Generalized law of mass action (LMA) with energetic variational approaches (EnVarA)

Chun Liu
Illinois Institute of Technology
USA
Co-Author(s):    Yiwei Wang, Bob Eisenberg and Chun Liu
Abstract:
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.