non-Markov equations

A system of non-Markovian transport equations is obtained for the non-equilibrium one-particle distribution function of particles and the non-equilibrium average value of the density of the potential energy of the interaction of the system particles far from the equilibrium state.  Expressions for entropy, the partition function of the non-equilibrium state of the system, as well as non-equilibrium thermodynamic relations were obtained.  The generalized structure of transfer kernel is revealed in detail with the selection of short-range and long-range contributions of interactions between p

A statistical description for the processes of catalytic hydrogen  oxidation is proposed  taking into account the reaction--diffusion processes for magnetoactive ions and atoms adsorbed on the metal surface.  The basic non-Markov transfer equations are obtained for the abbreviated description parameters of  reaction-diffusion processes for magnetoactive ions and atoms adsorbed on the metal surface in the method of nonequilibrium statistical Zubarev operator.  Weakly nonequilibrium reaction-diffusion processes are also considered.