Transport of matter and energy in a mesoscopic thermo-hydrodynamic approach.
We derive a thermo-hydrodynamic theory for particles and energy flow, based on a nonequilibrium grand-canonical ensemble formalism. The time-dependent kinetic coefficients are explicitly given in terms of microscopic mechanical quantities. The time evolution equations describing the coupled flow of energy and particles are derived. The second-rank tensorial fluxes of current of energy and particles present in the nonequilibrium ensemble are nondiagonal. We obtain a generalized Fick's Law, which presents the effect of the energy flow on the particle diffusion equation.
Madureira
Justino R
JR
Instituto de Fisica, Universidade Estadual de Campinas-Unicamp, 13083-970, CP 6165, Campinas-SP, Brazil. justino@ifi.unicamp.br