Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data
We present a statistical analysis of strong turbulence of Langmuir and ion-sound waves resulting from beam-plasma interaction. The analysis is carried out on data sets produced by a numerical simulation of one-dimensional Zakharov’s equations. The nonlinear wave interactions are studied usin...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2003-03-01
|
| Series: | Annales Geophysicae |
| Online Access: | https://www.ann-geophys.net/21/681/2003/angeo-21-681-2003.pdf |
| _version_ | 1818253166749155328 |
|---|---|
| author | J. Soucek J. Soucek T. Dudok de Wit V. Krasnoselskikh A. Volokitin A. Volokitin |
| author_facet | J. Soucek J. Soucek T. Dudok de Wit V. Krasnoselskikh A. Volokitin A. Volokitin |
| author_sort | J. Soucek |
| collection | DOAJ |
| description | We present a statistical
analysis of strong turbulence of Langmuir and ion-sound waves resulting from
beam-plasma interaction. The analysis is carried out on data sets produced by a
numerical simulation of one-dimensional Zakharov’s equations. The nonlinear
wave interactions are studied using two different approaches: high-order
spectra and Volterra models. These methods were applied to identify two and
three wave processes in the data, and the Volterra model was furthermore
employed to evaluate the direction and magnitude of energy transfer between the
wave modes in the case of Langmuir wave decay. We demonstrate that these
methods allow one to determine the relative importance of strongly and weakly
turbulent processes. The statistical validity of the results was thoroughly
tested using surrogated data set analysis.<br><br><b>Key words. </b>Space plasma physics
(wave-wave interactions; experimental and mathematical techniques; nonlinear
phenomena) |
| first_indexed | 2024-12-12T16:35:45Z |
| format | Article |
| id | doaj.art-136590143dd849beb029448c2f9bcabe |
| institution | Directory Open Access Journal |
| issn | 0992-7689 1432-0576 |
| language | English |
| last_indexed | 2024-12-12T16:35:45Z |
| publishDate | 2003-03-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Annales Geophysicae |
| spelling | doaj.art-136590143dd849beb029448c2f9bcabe2022-12-22T00:18:40ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05762003-03-012168169210.5194/angeo-21-681-2003Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence dataJ. Soucek0J. Soucek1T. Dudok de Wit2V. Krasnoselskikh3A. Volokitin4A. Volokitin5LPCE CNRS, Orléans, FranceInstitute of Atmospheric Physics, Prague, Czech RepublicLPCE CNRS, Orléans, FranceLPCE CNRS, Orléans, FranceLPCE CNRS, Orléans, FranceIZMIRAN, Troitsk, RussiaWe present a statistical analysis of strong turbulence of Langmuir and ion-sound waves resulting from beam-plasma interaction. The analysis is carried out on data sets produced by a numerical simulation of one-dimensional Zakharov’s equations. The nonlinear wave interactions are studied using two different approaches: high-order spectra and Volterra models. These methods were applied to identify two and three wave processes in the data, and the Volterra model was furthermore employed to evaluate the direction and magnitude of energy transfer between the wave modes in the case of Langmuir wave decay. We demonstrate that these methods allow one to determine the relative importance of strongly and weakly turbulent processes. The statistical validity of the results was thoroughly tested using surrogated data set analysis.<br><br><b>Key words. </b>Space plasma physics (wave-wave interactions; experimental and mathematical techniques; nonlinear phenomena)https://www.ann-geophys.net/21/681/2003/angeo-21-681-2003.pdf |
| spellingShingle | J. Soucek J. Soucek T. Dudok de Wit V. Krasnoselskikh A. Volokitin A. Volokitin Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data Annales Geophysicae |
| title | Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data |
| title_full | Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data |
| title_fullStr | Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data |
| title_full_unstemmed | Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data |
| title_short | Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data |
| title_sort | statistical analysis of nonlinear wave interactions in simulated langmuir turbulence data |
| url | https://www.ann-geophys.net/21/681/2003/angeo-21-681-2003.pdf |
| work_keys_str_mv | AT jsoucek statisticalanalysisofnonlinearwaveinteractionsinsimulatedlangmuirturbulencedata AT jsoucek statisticalanalysisofnonlinearwaveinteractionsinsimulatedlangmuirturbulencedata AT tdudokdewit statisticalanalysisofnonlinearwaveinteractionsinsimulatedlangmuirturbulencedata AT vkrasnoselskikh statisticalanalysisofnonlinearwaveinteractionsinsimulatedlangmuirturbulencedata AT avolokitin statisticalanalysisofnonlinearwaveinteractionsinsimulatedlangmuirturbulencedata AT avolokitin statisticalanalysisofnonlinearwaveinteractionsinsimulatedlangmuirturbulencedata |