Fokker-Planck equation for a test-particle weakly coupled to a magnetized plasma

Yannis Kourakis

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


We consider the derivation of a kinetic equation for a charged test particle weakly interacting with an electrostatic plasma in thermal equilibrium, subject to a uniform external magnetic field. The Liouville equation leads to a generalized master equation to second order in the `weak' interaction; a Fokker-Planck-type equation then follows as a `Markovian' approximation. It is shown that such an equation does not preserve the positivity of the distribution function f(x,v;t). By applying techniques developed in the theory of open systems, a correct Fokker-Planck equation is derived. Explicit expressions for the diffusion and drift coefficients, depending on the magnetic field, are obtained.
Original languageEnglish
Pages (from-to)587-594
Number of pages8
JournalPlasma Physics and Controlled Fusion
Issue number5
Publication statusPublished - May 1999

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Nuclear and High Energy Physics


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