Fluctuation — dissipation models of mass transfer in systems with chemical reactions

Abstract

On the basis of fluctuation — dissipation relations (FDR), the problem of the relationship between the dissipative fluxes and fluctuational characteristics of nonlinear diffusional chemically active systems is considered. Nonlinear transfer equations have been derived which determine the dependence of irreversible average fluxes on external forces and which correspond to the modelling of transfer processes by the sums of elementary random processes having the Poisson distribution. A nonlinear problem of mass transfer in a medium with chemical reactions is considered. It is shown that the FDR together with the Markov hypothesis allow one to unambigously restore the kinetic operator which describes both the spontaneous thermal fluctuations of the density of reagents and the global irreversible behaviour of a system using the well-known phenomenological equations.