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Updated: May 30, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
The non-equilibrium charge screening effects in diffusion-driven systems with pattern formation
V N Kuzovkov1, E A Kotomin, M Olvera de la Cruz
1Institute for Solid State Physics, University of Latvia, 8 Kengaraga Street, LV-1063 RIGA, Latvia. kuzovkov@latnet.lv
Abstract:
The effects of non-equilibrium charge screening in mixtures of oppositely charged interacting molecules on surfaces are analyzed in a closed system. The dynamics of charge screening and the strong deviation from the standard Debye-Hückel theory are demonstrated via a new formalism based on computing radial distribution functions suited for analyzing both short-range and long-range spacial ordering effects. At long distances the inhomogeneous molecular distribution is limited by diffusion, whereas at short distances (of the order of several coordination spheres) by a balance of short-range (Lennard-Jones) and long-range (Coulomb) interactions. The non-equilibrium charge screening effects in transient pattern formation are further quantified. It is demonstrated that the use of screened potentials, in the spirit of the Debye-Hückel theory, leads to qualitatively incorrect results.
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