HAL Id: jpa-00219231
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Submitted on 1 Jan 1979
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KINETIC EQUATION FOR A PLASMA IN A STRONG HIGH FREQUENCY
ELECTRO-MAGNETIC FIELD
R. Balescu, I. Paiva-Veretennicoff
To cite this version:
R. Balescu, I. Paiva-Veretennicoff. KINETIC EQUATION FOR A PLASMA IN A STRONG HIGH
FREQUENCY ELECTRO-MAGNETIC FIELD. Journal de Physique Colloques, 1979, 40 (C7),
pp.C7-511-C7-512. �10.1051/jphyscol:19797247�. �jpa-00219231�
JOURNAL DE PHYSIQUE CoZZoqw C7, suppl6ment au n07, Tome 40, JuiZZet 1979, page C7- 511
KINETIC EQUATION FOR A PLASMA IN A STRONG HIGH FREQUENCY ELECTRO-MAGNETIC FIELD
R. Balescu and I. ~ a i v a - ~ e r e t e n n i c o f f . ~ .
XFacuZtQ des Sciences, Universitd Libre de bruxeZles, Association Ematom-Etat Belqe.
FakuZteit der Wetenschappen, Vri je Universiteit Brusse 2.
A b s t r a c t . - The d e r i v a t i o n of a c o r r e c t k i n e t i c e q u a t i o n f o r a plasma i n p r e s e n c e of a s t r o n g e l e c t r o m a g n e t i c f i e l d ( e . g . a l a s e r beam) p o s e s two p r o b l e m s w h i c h , t o our. knowledge wer7e n e v e r s o l v e d s z t i s r a c - - t o r i l y . The f i r s t i s t h e i n f l u e n c e of t h e e x t e r n a l f i e l d on t h e c o l l i s i o n p r o c e s s a s w e l l a s on t h e a v e r a g e V l a s s o v f i e l d . The second i s t h e n e a t s e p a r a t i o n of t h e r a p i d t i m e - and s p a c e - s c a l e p r o c e s s e s f r o m t h e s l o w o n e s , which a r e i m p o r t a n t f o r t h e t r a n s p o r t phenomena.
The g e n e r a 1 f o r m u l a t i o n of t h e problem i s d i s c u s s e d i n t h e framework of t h e m u l t i p l e t i m e - s c a l e p e r t u r b a t i o n t h e o r y of Bogoliubov-Fr ieman-Davidson
.
The f i r s t s t e p t o w a r d s i t s s o l u t i o n i s p r e s e n t e d i n d e t a i l . It i n v o l v e s t h e s o l u t i o n of t h e V l a s s o v e q u a t i o n ( i n c l u d i n g l o n g i t u d i n a l and t r a n s v e r s e a v e r a g e f i e l d s ) i n p r e s e n c e of a n i n t e n s e e x t e r n a l e l e c t r o m a g n e t i c wave.
Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19797247