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Some properties of a collision term of a kinetic equation in a magnetic field

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The collision term of a Fokker-Planck type kinetic equation is derived for the case of a two component magnetized plasma. It is shown that the collision processes are fully described by one symmetric two-dimensional dyadicQ. The collision term is modified for the case in which the distribution function of the field particles is Maxwellian.

Conditions under which the “magnetic Rosenbluth potentials” can be introduced are studied. It is shown, in case that the distribution function of the field particles is Maxwellian, that the coefficients of friction and diffusion are expressible in terms of two scalar potentials only ifΩ a = 0 or if the components D⊥∥ and D∥ ∥ of the difusion coefficient are constant with respect toΩ a , for arbitraryΩ b of the field particles.

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Šesták, B. Some properties of a collision term of a kinetic equation in a magnetic field. Czech J Phys 31, 1010–1017 (1981). https://doi.org/10.1007/BF01598464

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  • DOI: https://doi.org/10.1007/BF01598464

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