Proof of quasilinear equations in the chaotic regime of the weak warm beam instability

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 302, Issue 2-3, 2002, Pages 110-118

  Escande, D F ^a   Elskens, Y ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Hamiltonian chaos; Kinetic theory; Particle motions and dynamics; Plasma; Self consistent field; Wave particle interaction

Indexed keywords

CHAOS THEORY; HAMILTONIANS; KINETIC THEORY; PLASMAS;

BEAM INSTABILITY; CHAOTIC MOTIONS; HAMILTONIAN CHAOS; PARTICLE MOTIONS; QUASI-LINEAR DIFFUSION COEFFICIENTS; QUASILINEAR EQUATION; SELF-CONSISTENT FIELD; WAVE-PARTICLE INTERACTIONS;

DIFFUSION;

ARTICLE; CHAOTIC DYNAMICS; DIFFUSION COEFFICIENT; ELECTRON; ELEMENTARY PARTICLE; KINETICS; MOLECULAR INTERACTION; MOTION; PLASMA; QUANTUM MECHANICS;

EID: 0038758146     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(02)01137-4     Document Type: Article

References (23)

1. A.A. Vedenov, E.D. Velikhov, R.Z. Sagdeev, Nucl. Fusion Suppl. 2 (1962) 465.
2. W.E. Drummond, D. Pines, Nucl. Fusion Suppl. 3 (1962) 1049.
3. I. Doxas, J.R. Cary, Phys. Plasmas 4 (1997) 2508.
4. G. Laval, D. Pesme, Plasma Phys. Control. Fusion 41 (1999) A239.
5. I.N. Onishchenko, A.R. Linetskiǐ, N.G. Matsiborko, V.D. Shapiro, V.I. Shevchenko, ZhETF Pis. Red. 12 (1970) 407; transl.: JETP Lett. 12 (1970) 281.
6. I.N. Onishchenko, A.R. Linetskiǐ, N.G. Matsiborko, V.D. Shapiro, V.I. Shevchenko, ZhETF Pis. Red. 12 (1970) 407; transl.: JETP Lett. 12 (1970) 281.
7. T.M. O'Neil, J.H. Winfrey, J.H. Malmberg, Phys. Fluids 14 (1971) 1204.
8. H.E. Mynick, A.N. Kaufman, Phys. Fluids 21 (1978) 653.
9. J.L. Tennyson, J.D. Meiss, P.J. Morrison, Physica D 71 (1994) 1.
10. M. Antoni, Y. Elskens, D.F. Escande. Phys. Plasmas 5 (1998) 841.
11. Y. Elskens, D.F. Escande, Microscopic Dynamics of Plasmas and Chaos, IoP Publishing, Bristol, 2002, to appear in.
12. D.F. Escande, Y. Elskens, Acta Phys. Pol. B 33 (2002) 1073.
13. A.B. Rechester, M.N. Rosenbluth, R.B. White, Phys. Rev. Lett. 42 (1979) 1247.
14. J.R. Cary, D.F. Escande, A.D. Verga, Phys. Rev. Lett. 65 (1990) 3132.
15. O. Ishihara, H. Xia, S. Watanabe, Phys. Fluids B 5 (1993) 2786.
16. D. Bénisti, D.F. Escande, Phys. Plasmas 4 (1997) 1576.
17. B.R. Ragot, J. Plasma Phys. 60 (1998) 299.
18. T.H. Dupree, Phys. Fluids 9 (1966) 1773.
19. D. Bénisti, D.F. Escande, J. Stat. Phys. 92 (1998) 909.
20. D. Pesme, A. Brisset, Assert to have proved a quasilinear diffusion equation for a spatially averaged velocity distribution function using a diagrammatic technique: private communication, 1981; D. Pesme, D.F. DuBois, Los Alamos report LA-UR-81-2234, in: A. Bishop (Ed.) Nonlinear Problems: Present and Future, North-Holland, Amsterdam, 1982; D. Pesme, Physica Scripta T 50 (1994) 7.
21. D. Pesme, A. Brisset, Assert to have proved a quasilinear diffusion equation for a spatially averaged velocity distribution function using a diagrammatic technique: private communication, 1981; D. Pesme, D.F. DuBois, Los Alamos report LA-UR-81-2234, in: A. Bishop (Ed.) Nonlinear Problems: Present and Future, North-Holland, Amsterdam, 1982; D. Pesme, Physica Scripta T 50 (1994) 7.
22. D. Pesme, A. Brisset, Assert to have proved a quasilinear diffusion equation for a spatially averaged velocity distribution function using a diagrammatic technique: private communication, 1981; D. Pesme, D.F. DuBois, Los Alamos report LA-UR-81-2234, in: A. Bishop (Ed.) Nonlinear Problems: Present and Future, North-Holland, Amsterdam, 1982; D. Pesme, Physica Scripta T 50 (1994) 7.
23. D.F. Escande, S. Zekri, Y. Elskens, Phys. Plasmas 3 (1996) 3534.