From long-range interaction to collective behaviour and from Hamiltonian chaos to stochastic models

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 561, Issue 2, 2006, Pages 129-136

  Elskens, Y ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Chaos; Collective dynamics; Global coupling; Transport; Vlasov equation

Indexed keywords

CHAOS THEORY; CHARGED PARTICLES; DEGREES OF FREEDOM (MECHANICS); DIFFUSION; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; RANDOM PROCESSES; RESONANCE;

COLLECTIVE DYNAMICS; GLOBAL COUPLING; GRANULARITY; VLASOV EQUATION;

HAMILTONIANS;

EID: 33646517311     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nima.2006.01.005     Document Type: Article

References (36)

1. Gilmour Jr. A.S. Principles of Traveling Wave Tubes (1994), Artech House, London
2. Kartikeyan M.V., Borie E., and Thumm M.K.A. Gyrotrons-High Power Microwave and Millimeter Wave Technology (2004), Springer, Berlin
3. Dubin D.H.E., and O'Neil T.M. Rev. Mod. Phys. 71 (1999) 87
4. Marchioro C., and Pulvirenti M. Mathematical Theory of Incompressible Nonviscous Fluids (1994), Springer, New York
5. Th. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens (Eds.), Dynamics and Thermodynamics of Systems with Long-Range Interactions, Lecture Notes in Physics, vol. 602, Springer, Berlin, 2002.
6. Elskens Y., and Escande D. Microscopic Dynamics of Plasmas and Chaos (2003), IoP Publishing, Bristol
7. Chirikov B.V. Phys. Rep. 52 (1979) 263
8. Escande D.F. Phys. Rep. 121 (1985) 165
9. Elskens Y., and Antoni M. Phys. Rev. E 55 (1997) 6575
10. Antoni M., Elskens Y., and Sandoz C. Phys. Rev. E 57 (1998) 5347
11. Firpo M.-C., and Elskens Y. Phys. Rev. Lett. 84 (2000) 3318
12. Barré J., Dauxois Th., De Ninno G., Fanelli D., and Ruffo S. Phys. Rev. E 69 (2004) 045501
13. Y. Elskens, M.K.-H. Kiessling, V. Ricci, preprint arXiv:math-ph/0506078.
14. Spohn H. Large Scale Dynamics of Interacting Particles (1991), Springer, Berlin
15. Firpo M.-C., and Elskens Y. J. Stat. Phys. 93 (1998) 193
16. Firpo M.-C., and Elskens Y. Phys. Scr. T75 (1998) 169
17. Dawson J.M. Rev. Mod. Phys. 55 (1983) 403
18. Birdsall C.K., and Langdon A.B. Plasma Physics via Computer Simulations (1991), IoP, Bristol
19. Y. Elskens, in: Th. Passot, C. Sulem, P-L. Sulem (Eds.), Theory of kinetics, Fields Institute Communications, vol. 46, American Mathematical Society, Providence, (2005) 89.
20. Antoni M., and Ruffo S. Phys. Rev. E 52 (1995) 2361
21. Firpo M.-C., Doveil F., Elskens Y., Bertrand P., Poleni M., and Guyomarc'h D. Phys. Rev. E 64 (2001) 026407
22. Cary J.R., Escande D.F., and Tennyson J.L. Phys. Rev. A 34 (1986) 4256
23. Neishtadt A.I. Fiz. Plasmy 12 (1986) 992
24. Neishtadt A.I. Sov. J. Plasma Phys. 12 (1986) 568
25. A. Antoniazzi, Y. Elskens, D. Fanelli, S. Ruffo, preprint arxiv: cond-mat/0601362.
26. Cary J.R., and Skodje R.T. Physica D 36 (1989) 287
27. Neishtadt A.I., Sidorenko V.V., and Treschev D.V. Chaos 7 (1997) 1
28. del-Castillo-Negrete D., and Firpo M.-C. Chaos 12 (2002) 496
29. Elskens Y., and Escande D.F. Nonlinearity 4 (1991) 615
30. Elskens Y., and Escande D.F. Physica D 62 (1993) 66
31. Galeotti L., and Califano F. Phys. Rev. Lett. 95 (2005) 15002
32. Bénisti D., and Escande D.F. Phys. Plasmas 4 (1997) 1576
33. Bénisti D., and Escande D.F. J. Stat. Phys. 92 (1998) 909
34. Escande D.F., and Elskens Y. Plasma Phys. Control. Fusion 45 (2003) A115
35. Appel W., and Kiessling M.K.-H. Ann. Phys. (NY) 289 (2001) 24
36. Appel W., and Kiessling M.K.-H. Lett. Math. Phys. 60 (2002) 31