Special Session 12: 

Reciprocal theorem: From local equations to symmetry over the whole system

Tiezheng Qian
Hong Kong University of Science and Technology
Hong Kong
Co-Author(s):    
Abstract:
Onsager`s reciprocal symmetry is typically used to derive local constitutive equations through a variational approach. We consider a non-equilibrium system close to the global equilibrium state. We show that the reciprocal symmetry for local constitutive equations can be extended to a new symmetry over the whole system. This symmetry is manifested in the kinetic coefficients connecting the forces and fluxes defined at the system boundary. Our results generalize the Lorentz theorem for Stokes flows. A phase field model will be used to demonstrate the generalized theorem.