The energy exchange processes are studied in the systems of non-identical interacting particles (with different sizes, masses, and charges) with the spatially inhomogeneous distribution of the stochastic kinetic energy sources. To analyze the energy balance in such systems, a theoretical model is considered. The analytical relations are presented that describe the redistribution of the stochastic kinetic energy between two charged particles. The relations proposed are verified by means of simulating numerically the problem for particles with the Coulomb interaction between them. The numerical analysis is performed of the process of the stochastic kinetic energy redistribution in the two-dimensional ensembles with the separated fractions of particles with different sizes and temperatures. The results of this work can be applied to the systems with any type of pair interaction. They can be also used for analyzing the energy exchange processes in inhomogeneous systems that are of interest in plasma physics and in physics of polymers and colloid systems.
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