Skip to main content Accessibility help
×
Home
Hostname: page-component-55b6f6c457-z8dxg Total loading time: 0.292 Render date: 2021-09-26T04:44:57.818Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": true, "newCiteModal": false, "newCitedByModal": true, "newEcommerce": true, "newUsageEvents": true }

Modified convective cells in plasmas

Published online by Cambridge University Press:  13 March 2009

D. Jovanović
Affiliation:
Association EURATOM-Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark
H. L. Pécseli
Affiliation:
Association EURATOM-Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark
J. Juul Rasmussen
Affiliation:
Association EURATOM-Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark
K. Thomsen
Affiliation:
Association EURATOM-Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark

Abstract

Two coupled equations describing the nonlinear evolution of modified convective cells with a finite but small wavenumber parallel to the external magnetic field B are derived. It is found that, for oblique propagation, the electrostatic and magnetostatic convective mode do not decouple as in the strictly perpen-dicular case. Various aspects of the governing equations are investigated. In the weakly nonlinear lirait, a three-wave interaction study shows the possibility of dual energy cascading, or of cascading to larger wavenumbers only, depending on the direction of the parallel wavenumber component of the pump wave. Furthermore, solitary wave solutions in the form of double vortices are considered.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1987

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

Chu, C., Chu, M.-S. & Ohkawa, T. 1978 Phys. Rev. Lett. 41, 653.CrossRefGoogle Scholar
Flierl, G. R., Stern, M. E. & Whitehead, J. A. 1983 Dyn, Atmoa. Oceans, 7, 233.Google Scholar
Harries, W. L. 1970 Phys. Fluids, 13, 1751.CrossRefGoogle Scholar
Hasegawa, A. & Kodama, Y. 1978 Phys. Rev. Lett. 41, 1470.CrossRefGoogle Scholar
Hasegawa, A. & Mima, K. 1977 Phys. Rev. Lett. 39, 205.CrossRefGoogle Scholar
Laedke, E. W. & Spatschek, K. H. 1985 Phys. Fluids, 28, 1008.CrossRefGoogle Scholar
Larichev, V. D. & Reznik, G. M. 1978 Dokl. Earth Sci. 231, 12.Google Scholar
Makino, M., Kamimura, T. & Taniuti, T. 1980 J. Phys. Soc. Japan, 50, 980.CrossRefGoogle Scholar
Meiss, J. D. & Horton, W. 1983 Phys. Fluids, 26, 990.CrossRefGoogle Scholar
Mikhailovskii, A. B., Aburdzhaniya, G. D., Onischenko, O. G. & Sharapov, S. E. 1984 a Phys. Lett. 104A, 94.CrossRefGoogle Scholar
Mikhailovskii, A. B., Lakhin, V. P., Mikhailovskaya, L. A. & Onischenko, O. G. 1984 b Soviet Phys. JETP, 59, 1198.Google Scholar
Navratil, G. A. & Post, R. S. 1979 Comm. Plasma Phys. 5, 29.Google Scholar
Okuda, H. & Dawson, J. M. 1973 Phys. Fluids, 17, 705.Google Scholar
Pavlenko, V. P. & Petviashvili, V. I. 1983 Soviet J. Plasma Phys. 9, 603.Google Scholar
Pécseli, H. L. & Mikkelsen, T. 1985 J. Plasma Phys. 34, 77.CrossRefGoogle Scholar
Pécseli, H. L., Rasmussen, J. J., Sugai, H. & Thomsen, K. 1984 a Plasma Phys. Contr. Fusion, 26, 1021.CrossRefGoogle Scholar
Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1984 b Phys. Rev. Lett. 52, 2148.CrossRefGoogle Scholar
Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1985 Plasma Phys. Contr. Fusion, 27, 837.CrossRefGoogle Scholar
Petviashvili, V. I. & Pokhotelov, O. A. 1985 JETP Lett. 42, 55.Google Scholar
Pierini, S. 1985 Dyn. Atmos. Oceans, 9, 273.CrossRefGoogle Scholar
Rahman, H. U. & Weiland, J. 1983 Phys. Rev. A, 28, 1673.CrossRefGoogle Scholar
Seyler, C. E., Salu, Y., Montgomery, D. & Knorr, G. 1975 Phys. Fluids, 18, 803.CrossRefGoogle Scholar
Shukla, P. K., Anderson, D., Lisak, M. & Wilhelmsson, H. 1985 Phys. Rev. A 31, 1946.CrossRefGoogle Scholar
Shukla, P. K. & Yu, M. Y. 1984 J. Plasma Phys. 31, 231.CrossRefGoogle Scholar
Shukla, P. K., Yu, M. Y. & Spatschek, K. H. 1981 Phys. Rev. A, 23, 3247.CrossRefGoogle Scholar
Shukla, P. K., Yu, M. Y., Rahman, H. V. & Spatschek, K. H. 1984 Phys. Rep. C, 105, 227.CrossRefGoogle Scholar
Sugai, H., Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1983 Phys. Fluids, 26, 1388.CrossRefGoogle Scholar
Taniuti, T. & Hasegawa, A. 1982 Physica Scripta, T2/2, 529.Google Scholar
11
Cited by

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Modified convective cells in plasmas
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

Modified convective cells in plasmas
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

Modified convective cells in plasmas
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *