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Electrostatic Interaction of Two Point Charges in Equilibrium Plasmas within the Debye Approximation
Author(s) -
Filippov Anatoly V.
Publication year - 2016
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.201500122
Subject(s) - debye length , physics , electrostatics , debye–hückel equation , debye , lattice (music) , plasma , boundary (topology) , lattice boltzmann methods , electrostatic interaction , poisson's equation , condensed matter physics , classical mechanics , quantum mechanics , chemical physics , mathematical analysis , mathematics , electrode , acoustics , electrolyte
The influence of the outer boundary shape on the electrostatic interaction of two charged point macroparticles in an equilibrium plasma is studied within the Debye‐Hückel approximation, i.e., based on the linearized Poisson‐Boltzmann model. It is shown that the boundary shape has a strong influence on the electrostatic interaction between two macroparticles, which switches from repulsion at small interparticle distances to attraction as it approaches the half‐length of the computational cell. It is found that in the case of dust particles arranged in the nodes of a simple cubic lattice, the electrostatic force acting on them is equal to zero; hence, an infinite simple cubic lattice of charged dust particles is mechanically stable. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)