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arXiv · 2506.09753

A consistent description of the kinetic processes of electrolyte ion transport in a dynamic porous medium

P. P. Kostrobij·B. M. Markovych·O. V. Viznovych·M. V. Tokarchuk
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Abstract

The consistent description of kinetic and hydrodynamic processes is applied to the study of ion transport processes in the ionic solution-porous medium system. A system of equations is obtained for the nonequilibrium single-ion distribution function, the nonequilibrium average value of the energy density of the interaction of solution ions, and the nonequilibrium average value of the number density of particles in a porous medium. Using the fractional calculus technique, a generalized diffusion equation of the Cattaneo type in fractional derivatives is obtained to describe the processes of subdiffusion of particles in a porous medium.

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P. P. Kostrobij, B. M. Markovych, O. V. Viznovych, M. V. Tokarchuk. 2025-06-11. A consistent description of the kinetic processes of electrolyte ion transport in a dynamic porous medium. https://doi.org/10.5488/cmp.28.23501

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