Interaction between a Langmuir wave and a ballistic perturbation
The theoretical solutions of the Landau–Vlasov initial value problem giving mode‐mode coupling usually neglect the free‐streaming contribution. The problem is solved theoretically including the ballistic terms. A mode, resulting from the interaction between the ballistic perturbation of the frequenc...
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Veröffentlicht in: | Phys. Fluids; (United States) 1980-10, Vol.23 (10), p.2034-2044 |
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creator | Gervais, F. Olivain, J. Quéméneur, A. Trocheris, M. |
description | The theoretical solutions of the Landau–Vlasov initial value problem giving mode‐mode coupling usually neglect the free‐streaming contribution. The problem is solved theoretically including the ballistic terms. A mode, resulting from the interaction between the ballistic perturbation of the frequency ω′ associated with a launched wave and the Landau component of frequency ω′′ of a second launched wave, appears only if ω′′≳ω′. Its frequency is ω=ω′′−ω′ and its phase velocity is identical to that of the Landau mode ω/k=ω′′/k′′. The amplitude of this mode is calculated as a function of distance from the launching probe and this is compared with the amplitude measured experimentally in a plasma column. |
doi_str_mv | 10.1063/1.862890 |
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The problem is solved theoretically including the ballistic terms. A mode, resulting from the interaction between the ballistic perturbation of the frequency ω′ associated with a launched wave and the Landau component of frequency ω′′ of a second launched wave, appears only if ω′′≳ω′. Its frequency is ω=ω′′−ω′ and its phase velocity is identical to that of the Landau mode ω/k=ω′′/k′′. 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Fluids; (United States)</title><description>The theoretical solutions of the Landau–Vlasov initial value problem giving mode‐mode coupling usually neglect the free‐streaming contribution. The problem is solved theoretically including the ballistic terms. A mode, resulting from the interaction between the ballistic perturbation of the frequency ω′ associated with a launched wave and the Landau component of frequency ω′′ of a second launched wave, appears only if ω′′≳ω′. Its frequency is ω=ω′′−ω′ and its phase velocity is identical to that of the Landau mode ω/k=ω′′/k′′. The amplitude of this mode is calculated as a function of distance from the launching probe and this is compared with the amplitude measured experimentally in a plasma column.</description><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>700108 - Fusion Energy- Plasma Research- Wave Phenomena</subject><subject>ANALYTICAL SOLUTION</subject><subject>BOLTZMANN-VLASOV EQUATION</subject><subject>COLLISIONLESS PLASMA</subject><subject>CONFIGURATION</subject><subject>CORRELATION FUNCTIONS</subject><subject>CYLINDRICAL CONFIGURATION</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>DISTRIBUTION FUNCTIONS</subject><subject>DISTURBANCES</subject><subject>EQUATIONS</subject><subject>FOURIER ANALYSIS</subject><subject>FUNCTIONS</subject><subject>INTEGRAL TRANSFORMATIONS</subject><subject>INTERACTIONS</subject><subject>LAPLACE TRANSFORMATION</subject><subject>MAGNETIC FIELDS</subject><subject>NONLINEAR PROBLEMS</subject><subject>NORMAL-MODE ANALYSIS</subject><subject>PLASMA</subject><subject>PLASMA WAVES</subject><subject>PROBES</subject><subject>TRANSFORMATIONS</subject><issn>0031-9171</issn><issn>2163-4998</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1980</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLxDAUhYMoOI6CP6G40kXHPKZJulMGHwMDbnQdbpMbrXTSIck4-O9trVtXBy7fPZxzCLlkdMGoFLdsoSXXNT0iM86kKJd1rY_JjFLBypopdkrOUvqklC_ZUszI3TpkjGBz24eiwXxADAUUGwjv230biwN8YQHBDbcGuq5NubXFDmPexwbGp3Ny4qFLePGnc_L2-PC6ei43L0_r1f2mtFzLXAKtnK0rjZWqtNLoKhRWMq8cIlDvudaOgaSq8agZuEZIpcDW4LyjSloxJ1eTbz9EMMm2Ge2H7UNAm40cSnLNB-h6gmzsU4rozS62W4jfhlEzzmOYmeYZ0JsJHa1-m_zP_gAcb2Ts</recordid><startdate>198010</startdate><enddate>198010</enddate><creator>Gervais, F.</creator><creator>Olivain, J.</creator><creator>Quéméneur, A.</creator><creator>Trocheris, M.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>198010</creationdate><title>Interaction between a Langmuir wave and a ballistic perturbation</title><author>Gervais, F. ; Olivain, J. ; Quéméneur, A. ; Trocheris, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c286t-a05dc958e575878ed5e3c61f7deea0ff288d1a607bfe81adb3677ac9adfd076c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1980</creationdate><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>700108 - Fusion Energy- Plasma Research- Wave Phenomena</topic><topic>ANALYTICAL SOLUTION</topic><topic>BOLTZMANN-VLASOV EQUATION</topic><topic>COLLISIONLESS PLASMA</topic><topic>CONFIGURATION</topic><topic>CORRELATION FUNCTIONS</topic><topic>CYLINDRICAL CONFIGURATION</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>DISTRIBUTION FUNCTIONS</topic><topic>DISTURBANCES</topic><topic>EQUATIONS</topic><topic>FOURIER ANALYSIS</topic><topic>FUNCTIONS</topic><topic>INTEGRAL TRANSFORMATIONS</topic><topic>INTERACTIONS</topic><topic>LAPLACE TRANSFORMATION</topic><topic>MAGNETIC FIELDS</topic><topic>NONLINEAR PROBLEMS</topic><topic>NORMAL-MODE ANALYSIS</topic><topic>PLASMA</topic><topic>PLASMA WAVES</topic><topic>PROBES</topic><topic>TRANSFORMATIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gervais, F.</creatorcontrib><creatorcontrib>Olivain, J.</creatorcontrib><creatorcontrib>Quéméneur, A.</creatorcontrib><creatorcontrib>Trocheris, M.</creatorcontrib><creatorcontrib>Association EURATOM-CEA sur la Fusion, Departement de Physique du Plasma et de la Fusion Controlee, Centre d'Etudes Nucleaires, 92260 Fontenay-aux-Roses, France</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Phys. Fluids; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gervais, F.</au><au>Olivain, J.</au><au>Quéméneur, A.</au><au>Trocheris, M.</au><aucorp>Association EURATOM-CEA sur la Fusion, Departement de Physique du Plasma et de la Fusion Controlee, Centre d'Etudes Nucleaires, 92260 Fontenay-aux-Roses, France</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interaction between a Langmuir wave and a ballistic perturbation</atitle><jtitle>Phys. Fluids; (United States)</jtitle><date>1980-10</date><risdate>1980</risdate><volume>23</volume><issue>10</issue><spage>2034</spage><epage>2044</epage><pages>2034-2044</pages><issn>0031-9171</issn><eissn>2163-4998</eissn><coden>PFLDAS</coden><abstract>The theoretical solutions of the Landau–Vlasov initial value problem giving mode‐mode coupling usually neglect the free‐streaming contribution. The problem is solved theoretically including the ballistic terms. A mode, resulting from the interaction between the ballistic perturbation of the frequency ω′ associated with a launched wave and the Landau component of frequency ω′′ of a second launched wave, appears only if ω′′≳ω′. Its frequency is ω=ω′′−ω′ and its phase velocity is identical to that of the Landau mode ω/k=ω′′/k′′. The amplitude of this mode is calculated as a function of distance from the launching probe and this is compared with the amplitude measured experimentally in a plasma column.</abstract><cop>United States</cop><doi>10.1063/1.862890</doi><tpages>11</tpages></addata></record> |
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subjects | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY 700108 - Fusion Energy- Plasma Research- Wave Phenomena ANALYTICAL SOLUTION BOLTZMANN-VLASOV EQUATION COLLISIONLESS PLASMA CONFIGURATION CORRELATION FUNCTIONS CYLINDRICAL CONFIGURATION DIFFERENTIAL EQUATIONS DISTRIBUTION FUNCTIONS DISTURBANCES EQUATIONS FOURIER ANALYSIS FUNCTIONS INTEGRAL TRANSFORMATIONS INTERACTIONS LAPLACE TRANSFORMATION MAGNETIC FIELDS NONLINEAR PROBLEMS NORMAL-MODE ANALYSIS PLASMA PLASMA WAVES PROBES TRANSFORMATIONS |
title | Interaction between a Langmuir wave and a ballistic perturbation |
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