A Mori-type equation for the lattice concentration of an interacting lattice gas is constructed on the basis of the master equation in the framework of the nonequilibrium statistical ensemble method due to Zubarev. The general expression for the diffusion coefficient, which takes into account...

In this paper we analyze the double Caldeira–Leggett model: the path integral approach to two interacting dissipative harmonic oscillators. Assuming a general form of the interaction between the oscillators, we consider two different situations: (i) when each oscillator is coupled to its own...

The aim of this paper is to examine thoroughly the dynamics of the diffusion process of mobile particles with repulsive interactions in inhomogeneou systems, and in the intercalation compounds such as LixTiS2 which presents a triangular structure. The study is done by using the lattice gas model...

A self-consistent and universal description of friction and diffusion for Brownian particles (grains) in different systems, such as gases with Boltzmann collisions, dusty plasmas with ion absorption by grains, and for active particles (e.g., cells in biological systems), is suggested on the...