NDLI: Electrostatic Potential of Charged Macroparticles in Plasma under Conditions of Thermal Equilibrium

Content Provider	Springer Nature Link
Author	D’yachkov, L. G.
Copyright Year	2005
Abstract	An exact analytical solution of the Poisson-Boltzmann equation (PBE) is found in the case of spherical, axial, or plane geometry, which describes the potential distribution around a charged macroparticle (wire or plane) in plasma under conditions of thermal equilibrium with an arbitrary relationship between the charge densities of macroparticles and plasma. The solution is obtained as a logarithm of the power series in several different forms. A recurrent relation is found for coefficients of the power series. The exact solution of the PBE for the case of plane geometry is already known; its identity to that found in this study is shown in a particular case. In the case of not too high charges of macroparticles, the exact solution is approximated by the solution of linearized PBE; for a solitary particle, this solution corresponds to the DLVO and Debye-Huckel approximations. For high charges, the exact solution deviates from an approximate one (very appreciably too) only in the vicinity of the macroparticle. An approximate solution is used to renormalize the macroparticle charge and to construct a simple model of electrostatic interaction of like-charged particles, which demonstrates the possibility of their attraction. The equilibrium distance of attracting particles (the position of minimum of interaction energy) agrees well with the position of maximum of the experimentally obtained pair correlation function for dust particles in thermal plasma.
Starting Page	322
Ending Page	334
Page Count	13
File Format	PDF
ISSN	0018151X
Journal	High Temperature
Volume Number	43
Issue Number	3
e-ISSN	16083156
Language	English
Publisher	Kluwer Academic Publishers-Consultants Bureau
Publisher Date	2005-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physical Chemistry Industrial Chemistry/Chemical Engineering Materials Science Mechanics, Fluids, Thermodynamics Atoms and Molecules in Strong Fields, Plasma Physics
Content Type	Text
Resource Type	Article
Subject	Engineering Condensed Matter Physics

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