Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T14:11:36.862Z Has data issue: false hasContentIssue false
  • English
  • Français

Quasi-wave trains in a cold collisionless plasma

Published online by Cambridge University Press:  13 March 2009

Yoshinori Inoue
Yoshinori Inoue
Affiliation:
Faculty of Engineering Science, Osaka University, Toyonaka, Osaka
Get access Rights & Permissions [Opens in a new window]

Abstract

Non-linear hydromagnetic waves in a cold collisionless plasma are investigated by numerical and analytic methods. For this problem, Saffman has already implied that there may exist a non-periodic wave different from the well-known solitary wave (or wave train). His analysis is based on the assumption that the quasi-ergodic theorem can be applied to the present problem. However, the propriety of the assumption has not been discussed.

It is seen from the computer calculations that in general the waves do not have periodicity, as Saffman pointed out. Furthermore, some concrete examples show the behaviour of these ergodic waves more clearly. The width of the waves is of the order of ion Larmor radius. These waves are here called quasi-wave trains. In some special cases, the waves reduce to wave trains (with periodicity). Some of them have a length scale of the geometric mean between the Larmor radii of the electron and of the ion.

Type
Research Article
Information
Journal of Plasma Physics , Volume 6 , Issue 3 , December 1971 , pp. 513 - 526
Copyright
Copyright © Cambridge University Press 1971

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

Adlam, J. H. & Allen, J. E. 1958 Phil. Mag. 3, 448.CrossRefGoogle Scholar
Alloucherie, Y. J. 1967 J. Plasma Phys. 1, 55.CrossRefGoogle Scholar
Byrd, P. E. & Friedman, M. D. 1954 Handbook of Elliptic Integrals for Engineers and Physicists. Springer.CrossRefGoogle Scholar
Cordey, J. G. & Saffman, P. G. 1967 J. Plasma Phys. 1, 129.CrossRefGoogle Scholar
Davis, L., Lüst, R. & Schlüter, A. 1958 Z. Naturforsch. 13a, 916.CrossRefGoogle Scholar
Inoue, Y. 1969 J. Phys. Soc. Japan, 26, 521.CrossRefGoogle Scholar
Kakutani, T. 1966 J. Phys. Soc. Japan, 21, 385.CrossRefGoogle Scholar
Kellogg, P. J. 1964 Phys. Fluids, 7, 1555.CrossRefGoogle Scholar
Montgomery, D. 1959 Phys. Fluids, 2, 585.CrossRefGoogle Scholar
Saffman, P. G. 1961 a J. Fluid Mech. 11, 16.CrossRefGoogle Scholar
Saffman, P. G. 1961 b J. Fluid Mech. 11, 552.CrossRefGoogle Scholar