Internal heat flux and entropy production rate for chemically reacting system in solution

By using the instantaneous probability density distribution for 1D Fokker-P lanck equation, the internal-spatially local entropy density and entropy fl ux for chemically reacting species in solution are defined for the first ti me without the local equilibrium assumption. The local heat flux is then de fined via the entropy flux and kinetic temperature. It is proved that such heat flux should reasonably coincide with that under the local equilibrium if the local equilibrium probability distribution is utilized. The internal -spatially local entropy production rate is defined at the same time. These quantities should offer helpful measures for understanding transient dynam ics of chemical reactions in solution.