Quantum Modeling of a Double Electrical Layer

被引：0

作者：

Nekrasov S.A. ^{[1
]}

Chernoivan D.N. ^{[1
]}

机构：

[1] Southern Russian State Polytechnic University (Novocherkassk Polytechnic Institute), Novocherkassk, Rostov oblast

来源：

Mathematical Models and Computer Simulations | 2019年 / 11卷 / 5期

关键词：

Bohm potential; electrical double layer; mathematical modeling; quantum mechanics; Schrödinger equation;

D O I：

10.1134/S2070048219050132

中图分类号：

学科分类号：

摘要：

Abstract: The article studies the problems of calculating both stationary and dynamic diffuse double electric layers (DELs), taking the quantum factor into account. The self-consistent field of the quantum mechanical DEL is simulated based on the Schrödinger equation and its modification in the Madelung form. An approximate solution of the equations of quantum mechanics and the 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 effects of the form factor of the initial plasma density distribution, temperature, microscopic friction forces, and parameters of the computational method are studied. © 2019, Pleiades Publishing, Ltd.

引用

页码：667 / 678

页数：11

共 12 条

[1]

Damaskin B.V., Petrii O.A., Electrochemistry, (1987)

[2]

Maksimov S.G., Problems of Microscopic Non-Relativistic Quantum Hydrodynamics, Extended Abstract of Cand. Sci. (Phys. Math.) Dissertation (Lomonosov Mosc, (2000)

[3]

Cohen E.G., Quantum statistics and liquid helium-3 – helium-4 mixtures, Science (Washington, DC, U.S.), 197, pp. 11-26, (1977)

[4]

Dubinov A.E., Senilov L.A., On the structure of the charged near-electrode sheath in a plasma with degenerate electrons, Tech. Phys., 55, pp. 799-806, (2010)

[5]

Lebedev Y.A., Electrical Probes in Reduced Pressure Plasma

[6]

Luryi S., Quantum capacitance device, Appl. Phys. Lett., 52, pp. 501-503, (1988)

[7]

Kompan M.E., Malyshkin V.G., Ultimate capacitance characteristics of graphene electrodes for supercapacitors: quantum restrictions, Tech. Phys. Lett., 41, (2015)

[8]

Glinka N.L., General Chemistry, (1986)

[9]

Bogoroditskii N.P., Pasynkov V.V., Tareev B.M., Electrotechnical Materials, (1985)

[10]

Kuznetsov V.P., Ways and prospects of development and application of electric double layer capacitors (Ionistors), Elektron. Tekh., Ser. 5: Radiodetali Kompon, 4, 85, (1991)

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