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Model Fokker—Planck Equations: Part 3. Application to transport phenomena

  • J. P. Dougherty (a1), S. R. Watson (a1) and M. A. Hellberg (a1)

Abstract

The Chapman—Enskog expansion is applied to the model Fokker—Planck equation for a plasma, derived in part 2. It is shown that the complete set of transport coefficients can be calculated without further approximations. Results are derived first in the absence of any external magnetic field. The transport coefficients are also derived when there is a strong magnetic field, in which case they become anisotropic.

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References

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Burnett, D. 1935 Proc. London Math. Soc. 39, 385.
Chapman, S. & Cowling, T. G. 1952 The Mathematical Theory of Non-Uniform Gases. Cambridge University Press.
Dougherty, J. P. 1964 Phys. Fluids 7, 1788.
Dougherty, J. P. & Watson, S. R. 1967 J. Plasma Phys. 1, 317.
Marshall, W. 1957 a AERE Harwell Report T/R 2247.
Marshall, W. 1957 b AERE Harwell Report T/R 2352.
Marshall, W. 1957 c AERE Harwell Report T/R 2419.
Robinson, B. B. & Bernstein, I. B. 1962 Ann. Phys. (New York) 18, 110.
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