Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-26T00:24:50.445Z Has data issue: false hasContentIssue false
  • English
  • Français

Transfer integrals for fully ionized gases

Published online by Cambridge University Press:  13 March 2009

Horst Fichtner ,
S. Ranga Sreenivasn  and
Norbert Vormbrock
Horst Fichtner
Affiliation:
Department of Physics and Astronomy, University of Calgary, 2500 University Drive NW., Calgary, Alberta, CanadaT2N 1N4 Institut für Astrophysik und Extraterrestrische Forschung der Universität Bonn, Auf dem Hiigel 71, D-53121 Bonn, Germany
S. Ranga Sreenivasn
Affiliation:
Department of Physics and Astronomy, University of Calgary, 2500 University Drive NW., Calgary, Alberta, CanadaT2N 1N4
Norbert Vormbrock
Affiliation:
Institut für Astrophysik und Extraterrestrische Forschung der Universität Bonn, Auf dem Hiigel 71, D-53121 Bonn, Germany BASF-AG, ZX/ZC-C 13, D-67056 Ludwigshafen, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

The general transfer integrals describing the collisional exchange of momentum and energy between the constituents of multicoimponent gases are evaluated for different plasma scenarios characterized by Maxwellian as well as non-Maxwellian distribution functions of the plasma species. Following a brief presentation of the standard approximation frequently employed in the literature, a comparison of numerical evaluations of the transfer integrals for various distribution functions reveals significant differences in the corresponding collisional momentum and energy exchange rates, which are shown to depend mainly on the core structure of the distributions. We demonstrate the inadequacy of the standard approximation and hence the importance of an accurate evaluation of the transfer integrals with an application to the electron proton as well as the helium proton interaction in the solar wind plasma.

Type
Research Article
Information
Journal of Plasma Physics , Volume 55 , Issue 1 , February 1996 , pp. 95 - 120
Copyright
Copyright © Cambridge University Press 1996

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Anderson, S.W. 1994 Astrophys. J. 437, 860.CrossRefGoogle Scholar
Balescu, R. 1988 Transport Processes in Plasmas, Vols I and II. Elsevier, Amsterdam.Google Scholar
Berntsen, J., Espelid, T.O. & Genz, A. 1991 ACM Trans. Math. Software, 17, 437.CrossRefGoogle Scholar
Braginskii, S.I. 1965 Review of Plasma Physics, Vol. 1 (ed. Leontovich, M.A.), p. 205. Consultants Bureau, New York.Google Scholar
Burgers, J.M. 1969 Flow Equations for Composite Gases. Academic Press, New York.Google Scholar
Bürgi, A. 1992 J. Geophys. Res. 97, 3137.CrossRefGoogle Scholar
Cercignani, C. 1988 The Boltzmann Equation and Its Applications. Springer-Verlag, New York.CrossRefGoogle Scholar
Chapman, S. & Cowling, T.G. 1970 The Mathematical Theory of Non-Uniform Gases, 3rd edn.CambridgeUniversity Press.Google Scholar
Cooper, G.E. & Herman, P.T. 1973 Phys. Fluids 16, 118.CrossRefGoogle Scholar
Cuperman, S. & Harten, A. 1970 Astrophys. J. 162, 315.CrossRefGoogle Scholar
Davidson, R.C. & Krall, N.A. 1977 Nucl. Fusion 17, 1313.CrossRefGoogle Scholar
Debye, P. & Hückecl, E. 1923 Phys. Z. 24, 185.Google Scholar
Dum, C.T., Marsch, E. & Pilipp, W. 1980 J. Plasma Phys. 23, 91.CrossRefGoogle Scholar
Fahr, H.J. & Fichtner, H. 1991 Space Sci. Rev. 58, 193.CrossRefGoogle Scholar
Fichtner, H. 1994 Rarefied Gas Dynamics: Space Science and Engineering (ed. Shizgal, B.D. & Weaver, D.P.), pp. 371–379. Progress in Astronautics and Aeronautics. Vol. 160, AIAA, Washington, DC.Google Scholar
Fichtner, H. & Fahr, H.J. 1991 Astron. Astrophys. 241, 187.Google Scholar
Fichtner, H. & Sreenivasan, S.R. 1993 J. Plasma Phys. 49, 101.CrossRefGoogle Scholar
Fichtner, H., Vormbrock, N. & Sreenivasan, S.R. 1995 Sol. Phys., 160, 105.CrossRefGoogle Scholar
Goldstein, H. 1980 Classical Mechanics, 2nd edn.Addison-Wesley, Reading, Massachusetts.Google Scholar
Grad, H. 1958 Handbuch der Physik, Vol. 12, pp. 205–294. Springer-Verlag, Berlin.Google Scholar
Leer, E., Holzer, T.E. & Shoub, E. 1992 J. Geophys. Res. 97, 8183.CrossRefGoogle Scholar
Liboff, R.L. 1969 Introduction to the Theory of Kinetic Equations. Wiley, New York.CrossRefGoogle Scholar
Ljepojevic, N.N. & Burgess, A. 1990 Proc. R. Soc. Lond. A428, 71.Google Scholar
Ljepojevic, N.N. & MacNeice, P. 1988 Sol. Phys. 117, 123.CrossRefGoogle Scholar
Ljepojevic, N.N. & MacNeice, P. 1989 Phys. Rev. A40. 981.CrossRefGoogle Scholar
Luciani, J.F., Mora, P. & Pellat, R. 1985 Phys. Fluids 28, 835.CrossRefGoogle Scholar
Marsch, E. 1984 Plasma Astrophysics, p. 33. ESA-SP-207.Google Scholar
Marsch, E. 1994 Adv. Space Res. 14, 103–121.CrossRefGoogle Scholar
Marsch, E., Goertz, C.K. & Richter, A.K. 1982 J. Geophys. Res. 87, 5030.CrossRefGoogle Scholar
Massaglia, S. 1993 Astron. Astrophys. 267, 595.Google Scholar
Olbert, S. 1969 Physics of the Magnetosphere (ed. Carovillano, R.L., McClay, J.F. & Radoski, H.R.), p. 641. Reidel, Dordrecht.Google Scholar
Olbert, S., Egidi, A., Moreno, G. & Pai, L. 1967 Trans. AGU 48, 177.Google Scholar
Papadopoulos, K. 1985 Collisionless Shocks in the Heliosphere (ed. Stone, P.G. & Tsurutani, B.T.), p. 59. Geophysical Monograph 34, American Geophysical Union, Washington, DC.Google Scholar
Schunk, R. 1977 Rev. Geophys. 15, 429.CrossRefGoogle Scholar
Scudder, J.D. 1992 a Astrophys. J. 398, 299.CrossRefGoogle Scholar
Scudder, J.D. 1992 b Astrophys. J. 398, 319.CrossRefGoogle Scholar
Scudder, J.D. 1994 Astrophys. J. 427, 446.CrossRefGoogle Scholar
Shoub, E. 1987 Phys. Fluids 30, 1340.CrossRefGoogle Scholar
Shoub, E. 1992 Astrophys. J. 389, 558.CrossRefGoogle Scholar
Trubnikov, B.A. 1965 Reviews of Plasma Physics, Vol. 1 (ed. Leontovich, M.A.), p. 105. Consultants Bureau, New York.Google Scholar
Vormbrock, N. 1991 Diploma thesis, University of Bonn.Google Scholar
Vormbrock, N. 1995 Ph.D. thesis, University of Bonn.Google Scholar
Vormbrock, N. & Fichtner, H. 1993 Proceedings of 23rd International Cosmic Ray Conference, July 1993, Calgary, Canada, Vol. 2, p. 283–286.Google Scholar
Woods, L.C. 1993 An Introduction to the Kinetic Theory of Gases and Magnetoplasmas. Oxford University Press.CrossRefGoogle Scholar