Coulomb collisional processes in space plasmas; Relaxation of suprathermal particle distributions

Planetary and Space Science

Volumn 52, Issue 10, 2004, Pages 923-933

  Shizgal, Bernie D ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE DIFFERENCE METHOD; KINETIC THEORY; MAXWELL EQUATIONS; WIND;

COULOMB COLLISIONAL PROCESSES; FOKKER-PLANCK EQUATIONS; NONUNIFORM SYSTEMS; VELOCITY FILTRATION;

PLASMAS;

EID: 4544284104     PISSN: 00320633     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pss.2004.01.005     Document Type: Article

References (38)

1. Andersen K., Shuler K.E. On the relaxation of the hard sphere Rayleigh and Lorentz gas. J. Chem. Phys. 40:1964;633-650.
2. Anderson S.W. Coulomb collisions and coronal heating by velocity filtration. Astrophys. J. 437:1994;860-866.
3. + velocity distribution in the polar wind J. Geophys. Res. 22:1995;1857-1860.
4. Barrett J., Demeio L., Shizgal B. The Coulomb Milne problem. Phys. Rev. E. 44:1991;2969-2978.
5. Bizarro J.P.S., Rodrigues P. Numerical Fokker-Planck calculations in nonuniform grids. Phys. Plasmas. 8:2001;1903-1909.
6. Bobylev A.V., Potapenko I.F., Sakanaka P.H. Relaxation of two-temperature plasma. Phys. Rev. E. 56:1997;2081-2093.
7. Chang J.S., Cooper G. A practical difference scheme for Fokker-Planck equations. J. Comput. Phys. 6:1970;1-16.
8. Chang Y., Ordonez C.A. Simplification of the Boltzmann collision integral. Phys. Plasmas. 6:1999;2947-2949.
9. Demars H.G., Schunk R.W. Solutions to bi-Maxwellian transport equations for the polar wind. Planet. Space Sci. 37:1989;85-96.
10. Demars H.G., Schunk R.W. Semikinetic and generalized transport models of the polar and solar winds. J. Geophys. Res. 97:1992;1581-1595.
11. Goldstein H. Classical Mechanics. 1959;Addison-Wesley, Reading, MA.
12. Hinton F.L. Collisional transport in plasmas. Galeev A.A., Sudan R.N. Basic Plasma Physics 1. 1983;North-Holland, Amsterdam.
13. + polar wind in the transition region as influenced by ionospheric convection and electron heating J. Geophys. Res. 102:1997;395-406.
14. Leblanc F., Hubert D. A generalized model for the proton expansion in astrophysical winds, I, The velocity distribution function representation. Astrophys. J. 483:1997;464-474.
15. Leblanc F., Hubert D., Bielly P.L. Comparison of the generalized and bi-Maxwellian multimoment multispecies approaches of the terrestrial polar wind. J. Geophys. Res. 105:2000;2551-2562.
16. Leung K., Shizgal B.D., Chen H.L. The quadrature discretization method (QDM) in comparison with other numerical methods of solution of the Fokker-Planck equation for electron thermalization. J. Math. Chem. 24:1998;291-319.
17. Lie-Svendsen O., Leer E. The electron velocity distribution in the high speed solar wind. Modeling effects of protons J. Geophys. Res. 105:2000;35-46.
18. Lie-Svendsen O., Olsen E.L. Comparison of kinetic and hydrodynamic descriptions of the proton polar wind in the transition to collisionless flow. J. Geophys. Res. 103:1998;4097-4113.
19. Lie-Svendsen O., Rees M.H. An improved kinetic model for the polar outflow of a minor ion. J. Geophys. Res. 101:1996;2415-2433.
20. Livi L., Marsch E. On the collisional relaxation of solar wind velocity distributions. Ann. Geophys. A. 4:1986;333-340.
21. Livi S., Marsch E., Rosenbauer H. Coulomb collisional domains in the solar wind. J. Geophys. Res. 91:1986;8045-8050.
22. Mitchener M., Kruger C.H. Jr. Partially Ionized Gases. 1973;Wiley-Interscience, New York.
23. Park B.T., Petrosian V. Fokker-Planck equations of stochastic acceleration. A study of numerical methods. ApJ. Suppl. S. 103:1996;255-267.
24. Pierrard, V., 1997. Fonctions de distribution des vitesses des particules s'échappent de l'ionosphère. Ph.D. Thesis, University Catholique de Louvain-La-Neuve, 163pp.
25. Pierrard V., Lemaire J. A collisional kinetic model of the polar wind. J. Geophys. Res. 103:1998;11701-11709.
26. Pierrard V., Maksimovic M., Lemaire J. Electron velocity distribution functions from the solar wind to the corona. J. Geophys. Res. 104:1999;17021-17032.
27. Potapenko I.F., Bobylev A.V., Azevedo C.A., Assis A.S. Temperature relaxation in collisional nonequilibrium plasma. Physica A. 257:1998;483-487.
28. Potapenko A.F., Bobylev A.V., Azevedo C.A., Sakanaka P.H., Assis A.S. On the relaxation of cold electrons and hot ions. Phys. Plasmas. 5:1998;36-44.
29. Przybylski K., Ligou J. Numerical analysis of the Boltzmann equation including Fokker-Planck terms. Nucl. Sci. Eng. 81:1982;92-109.
30. Schamel H., Hamnen H., Duchs D.F., Stringer T.E., O'Brien M.R. Nonlinear analysis of Coulomb relaxation of anisotropic distributions. Phys. Fluids B. 1:1989;76-86.
31. Scudder J.D. On the causes of temperature change in inhomogeneous low-density astrophysical plasmas. Astrophys. J. 398:1992;299-318.
32. Scudder J.D. Why all stars should possess circumstellar temperature inversions. Astrophys. J. 398:1992;319-349.
33. Shizgal, B., 1990. Relaxation in ionized gases; The role of the spectrum of the collision operator. In: Beylich, A.E. (Ed.), Proceedings of the 17th International Symposium on Rarefied Gas Dynamics, Vol. 17, pp. 22-29.
34. Shizgal B. Spectral theory and the approach to equilibrium in a plasma. Trans. Th. Stat. Phys. 21:1992;645-665.
35. Shizgal, B., 2004. Neutral particle collisional relaxation of suprathermal distributions in Aeronomy. Planet. Space Sci., doi: 10.1016/j.pss.2004.01.006.
36. Shizgal B., Fitzpatrick J.M. Temperature relaxation in a binary gas. II. Time dependent solution. J. Chem. Phys. 63:1975;138-142.
37. Shoub E.C. Failure of the Fokker-Planck approximation to the Boltzmann integral for. 1/r potentials Phys. Fluids. 30:1987;1340-1352.
38. Spitzer L. Jr. Physics of Fully Ionized Gases. 1962;Wiley Interscience, New York.