Teplofizika vysokikh temperatur
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TVT:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Teplofizika vysokikh temperatur, 2005, Volume 43, Issue 3, Pages 331–342 (Mi tvt1279)  

This article is cited in 6 scientific papers (total in 6 papers)

Plasma Investigations

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

L. G. D'yachkov

Institute of Extremal States Thermophysics, Scientific Association for High Temperatures, Russian Academy of Sciences, Moscow
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.
Received: 05.10.2004
English version:
High Temperature, 2005, Volume 43, Issue 3, Pages 322–334
DOI: https://doi.org/10.1007/s10740-005-0070-z
Document Type: Article
UDC: 533.9
Language: Russian
Citation: L. G. D'yachkov, “Electrostatic Potential of Charged Macroparticles in Plasma under Conditions of Thermal Equilibrium”, TVT, 43:3 (2005), 331–342; High Temperature, 43:3 (2005), 322–334
Citation in format AMSBIB
\Bibitem{Dya05}
\by L.~G.~D'yachkov
\paper Electrostatic Potential of Charged Macroparticles in Plasma under Conditions of Thermal Equilibrium
\jour TVT
\yr 2005
\vol 43
\issue 3
\pages 331--342
\mathnet{http://mi.mathnet.ru/tvt1279}
\transl
\jour High Temperature
\yr 2005
\vol 43
\issue 3
\pages 322--334
\crossref{https://doi.org/10.1007/s10740-005-0070-z}
Linking options:
  • https://www.mathnet.ru/eng/tvt1279
  • https://www.mathnet.ru/eng/tvt/v43/i3/p331
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Teplofizika vysokikh temperatur Teplofizika vysokikh temperatur
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024