# Electrostatic interaction of macroparticles in a plasma in the strong screening regime

## Abstract

We have studied the electrostatic interaction of spherical particles in an equilibrium plasma or an electrolyte in the moderate and strong screening regimes when the macroparticle size is comparable with or much larger than the Debye screening radius. We have developed an approximate theory of the electrostatic interaction of macroparticles in the case of constant potentials of their surfaces in the weak or moderate screening regimes. In this theory, the charges of macroparticles with a fixed spacing between them are determined using vacuum capacitive coefficients, which are corrected taking into account the plasma screening effects. The force of interaction with the resultant charges is calculated based on the solution of the problem of interaction in a homogeneous dielectric (vacuum) and is multiplied by the plasma factor. We have also obtained an approximate solution to the problem in the strong screening regime. Comparison with the exact solution has demonstrated high accuracy of the proposed methods of calculation.

- Authors:

- Russian Federation State Research Center “Troitsk Institute for Innovation and Fusion Research,” (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22756317

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 125; Journal Issue: 3; Other Information: Copyright (c) 2017 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIELECTRIC MATERIALS; ELECTROSTATICS; EQUILIBRIUM PLASMA; EXACT SOLUTIONS; INTERACTIONS; OPTIMAL CONTROL; SCREENING; SPHERICAL CONFIGURATION

### Citation Formats

```
Filippov, A. V., E-mail: fav@triniti.ru, Derbenev, I. N., Pautov, A. A., and Rodin, M. M.
```*Electrostatic interaction of macroparticles in a plasma in the strong screening regime*. United States: N. p., 2017.
Web. doi:10.1134/S1063776117080040.

```
Filippov, A. V., E-mail: fav@triniti.ru, Derbenev, I. N., Pautov, A. A., & Rodin, M. M.
```*Electrostatic interaction of macroparticles in a plasma in the strong screening regime*. United States. doi:10.1134/S1063776117080040.

```
Filippov, A. V., E-mail: fav@triniti.ru, Derbenev, I. N., Pautov, A. A., and Rodin, M. M. Fri .
"Electrostatic interaction of macroparticles in a plasma in the strong screening regime". United States. doi:10.1134/S1063776117080040.
```

```
@article{osti_22756317,
```

title = {Electrostatic interaction of macroparticles in a plasma in the strong screening regime},

author = {Filippov, A. V., E-mail: fav@triniti.ru and Derbenev, I. N. and Pautov, A. A. and Rodin, M. M.},

abstractNote = {We have studied the electrostatic interaction of spherical particles in an equilibrium plasma or an electrolyte in the moderate and strong screening regimes when the macroparticle size is comparable with or much larger than the Debye screening radius. We have developed an approximate theory of the electrostatic interaction of macroparticles in the case of constant potentials of their surfaces in the weak or moderate screening regimes. In this theory, the charges of macroparticles with a fixed spacing between them are determined using vacuum capacitive coefficients, which are corrected taking into account the plasma screening effects. The force of interaction with the resultant charges is calculated based on the solution of the problem of interaction in a homogeneous dielectric (vacuum) and is multiplied by the plasma factor. We have also obtained an approximate solution to the problem in the strong screening regime. Comparison with the exact solution has demonstrated high accuracy of the proposed methods of calculation.},

doi = {10.1134/S1063776117080040},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 3,

volume = 125,

place = {United States},

year = {2017},

month = {9}

}