Abstract
The energy exchange between a plasma and a source of excitation J(r)sin(w{sub 0}t) is investigated. In order to include the case of growing waves associated with connective instabilities, this problem is treated in the context of the wave-packet theory, by writing the field as a double integral in two complex planes. the paths of the integration are defined after a separation into two classes of the root k(w) of the dispersion equation. We find that - at even in the absence of collisions - there is still a power exchange exchange, due to the spatial dispersion. Thus a connexion can be established with the kinematic theories of growing waves [1][2] and the modes generating power can be found. Moreover, the power dissipated by spatial dispersion is found to be critical with that due to Landau's effect for long waves. This confirms the kinematic character of the latter and bridges a gap between macroscopic and microscopic theories. (author) [French] On etudie les echanges d'energie entre un plasma et une source d'excitation J(r)sin(w{sub 0}t). Pour inclure le cas des ondes croissantes associees aux instabilites convectives, on traite ce probleme dans le cadre de la theorie du paquet d'ondes en definissant le champ
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Rolland, P
[1]
- Commissariat a l'Energie Atomique, Saclay (France). Centre d'Etudes Nucleaires
Citation Formats
Rolland, P.
Power dissipated - or generated - by the various excited modes in a plasma; Puissance dissipee - ou generee - par les differents modes excites dans un plasma.
France: N. p.,
1967.
Web.
Rolland, P.
Power dissipated - or generated - by the various excited modes in a plasma; Puissance dissipee - ou generee - par les differents modes excites dans un plasma.
France.
Rolland, P.
1967.
"Power dissipated - or generated - by the various excited modes in a plasma; Puissance dissipee - ou generee - par les differents modes excites dans un plasma."
France.
@misc{etde_20726924,
title = {Power dissipated - or generated - by the various excited modes in a plasma; Puissance dissipee - ou generee - par les differents modes excites dans un plasma}
author = {Rolland, P}
abstractNote = {The energy exchange between a plasma and a source of excitation J(r)sin(w{sub 0}t) is investigated. In order to include the case of growing waves associated with connective instabilities, this problem is treated in the context of the wave-packet theory, by writing the field as a double integral in two complex planes. the paths of the integration are defined after a separation into two classes of the root k(w) of the dispersion equation. We find that - at even in the absence of collisions - there is still a power exchange exchange, due to the spatial dispersion. Thus a connexion can be established with the kinematic theories of growing waves [1][2] and the modes generating power can be found. Moreover, the power dissipated by spatial dispersion is found to be critical with that due to Landau's effect for long waves. This confirms the kinematic character of the latter and bridges a gap between macroscopic and microscopic theories. (author) [French] On etudie les echanges d'energie entre un plasma et une source d'excitation J(r)sin(w{sub 0}t). Pour inclure le cas des ondes croissantes associees aux instabilites convectives, on traite ce probleme dans le cadre de la theorie du paquet d'ondes en definissant le champ par une integrale double dans deux plans complexes; les parcours d'integration sont precises apres avoir separe en deux classes les racines k(w) de l'equation de dispersion. On trouve que meme en l'absence de collisions, la puissance echangee n'est pas nulle, a cause de la dispersion spatiale. Ceci permet d'etablir une connexion avec les theories cinematiques des ondes croissantes [1][2], tout en precisant quels sont les modes generateurs d'energie. Par ailleurs, la puissance dissipee par dispersion spatiale se revele identique a la dissipation par effet Landau pour les grandes ondes, ce qui confirme le caractere cinematique de ce dernier et fait la jonction entre les theories microscopique et macroscopique. (auteur)}
place = {France}
year = {1967}
month = {Jul}
}
title = {Power dissipated - or generated - by the various excited modes in a plasma; Puissance dissipee - ou generee - par les differents modes excites dans un plasma}
author = {Rolland, P}
abstractNote = {The energy exchange between a plasma and a source of excitation J(r)sin(w{sub 0}t) is investigated. In order to include the case of growing waves associated with connective instabilities, this problem is treated in the context of the wave-packet theory, by writing the field as a double integral in two complex planes. the paths of the integration are defined after a separation into two classes of the root k(w) of the dispersion equation. We find that - at even in the absence of collisions - there is still a power exchange exchange, due to the spatial dispersion. Thus a connexion can be established with the kinematic theories of growing waves [1][2] and the modes generating power can be found. Moreover, the power dissipated by spatial dispersion is found to be critical with that due to Landau's effect for long waves. This confirms the kinematic character of the latter and bridges a gap between macroscopic and microscopic theories. (author) [French] On etudie les echanges d'energie entre un plasma et une source d'excitation J(r)sin(w{sub 0}t). Pour inclure le cas des ondes croissantes associees aux instabilites convectives, on traite ce probleme dans le cadre de la theorie du paquet d'ondes en definissant le champ par une integrale double dans deux plans complexes; les parcours d'integration sont precises apres avoir separe en deux classes les racines k(w) de l'equation de dispersion. On trouve que meme en l'absence de collisions, la puissance echangee n'est pas nulle, a cause de la dispersion spatiale. Ceci permet d'etablir une connexion avec les theories cinematiques des ondes croissantes [1][2], tout en precisant quels sont les modes generateurs d'energie. Par ailleurs, la puissance dissipee par dispersion spatiale se revele identique a la dissipation par effet Landau pour les grandes ondes, ce qui confirme le caractere cinematique de ce dernier et fait la jonction entre les theories microscopique et macroscopique. (auteur)}
place = {France}
year = {1967}
month = {Jul}
}