This article is cited in 1 paper

Quantum modeling of the electrical double layer

S. A. Nekrasov, D. N. Chernoivan

Southern Russian State Polytechnic University (Novocherkassk Polytechnic Institute), Novocherkassk, Rostov region

Abstract: The article studies the problems of calculating both stationary and dynamic diffuse double electric layer taking into account the quantum factor. The simulation of the selfconsistent field of the quantum mechanical double electric layer is carried out on the basis of the Schrödinger equation and its modification in the form of Madelung. The approximate solution of the equations of quantum mechanics and electric field is carried out by the finite difference method. An example of modeling a diffuse double electric layer for a gas plasma and a cryogenic solution of quantum particles is considered. The influence of the form factor of the initial distribution of plasma density, temperature, microscopic friction forces and the parameters of the computational method is studied.

Keywords: electrical double layer, quantum mechanics, Schrödinger equation, potential of Bohm, mathematical modeling.

Received: 28.08.2017
Revised: 14.02.2018
Accepted: 12.03.2018

DOI: 10.1134/S0234087919010027

 English version: Mathematical Models and Computer Simulations, 2019, 11:5, 667–678

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