Hamiltonian and Brownian systems with long-range interactions: IV. General kinetic equations from the quasilinear theory

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 7, 2008, Pages 1504-1528

  Chavanis, Pierre Henri ^a  

^a UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

Kinetic theory; Long range interactions

Indexed keywords

AUTOCORRELATION; BROWNIAN MOVEMENT; DIFFUSION; KINETIC THEORY; MIXING; STATISTICAL METHODS; TENSORS;

COLLISIONLESS SYSTEMS; KINETIC EQUATIONS; KLIMONTOVICH EQUATION; LONG RANGE INTERACTIONS;

HAMILTONIANS;

EID: 37349106806     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.10.034     Document Type: Article

References (54)

1. In: Dauxois T., Ruffo S., Arimondo E., and Wilkens M. (Eds). Dynamics and Thermodynamics of Systems with Long Range Interactions. Lect. Not. in Phys. vol. 602 (2002), Springer
2. Chavanis P.H. Physica A 361 (2006) 55 (Paper I)
3. Chavanis P.H. Physica A 361 (2006) 81 (Paper II)
4. P.H. Chavanis, preprint arXiv:0705.4405 (Paper III)
5. Saslaw W.C. Gravitational Physics of Stellar and Galactic Systems (1985), Cambridge Univ. Press
6. Padmanabhan T. Phys. Rep. 188 (1990) 285
7. Chavanis P.H. Internat. J. Modern Phys. B 20 (2006) 3113
8. Sommeria J. Two-dimensional turbulence. In: Lesieur M., Yaglom A., and David F. (Eds). New Trends in Turbulence. Les Houches Summer School vol. 74 (2001) 385
9. Tabeling P. Phys. Rep. 362 (2002) 1
10. P.H. Chavanis, Statistical mechanics of two-dimensional vortices and stellar systems in [1]; See also cond-mat/0212223
11. Balescu R. Statistical Mechanics of Charges Particles (1963), Interscience, New York
12. Lifshitz E.M., and Pitaevskii L.P. Physical Kinetics (1981), Pergamon Press, Oxford
13. T. Dauxois, V. Latora, A. Rapisarda, S. Ruffo, A. Torcini, The Hamiltonian Mean Field Model: From Dynamics to Statistical Mechanics and Back in [1]; See also cond-mat/0208456
14. P.H. Chavanis, Contributions à la mécanique statistique des tourbillons bidimensionnels. Analogie avec la relaxation violente des systèmes stellaires, Ph.D. Thesis, ENS Lyon, 1996
15. P.H. Chavanis. arXiv:0704.3953
16. Chavanis P.H. Eur. Phys. J. B 52 (2006) 61
17. Kadomtsev B.B., and Pogutse O.P. Phys. Rev. Lett. 25 (1970) 1155
18. Severne G., and Luwel M. Astro. Space Sci. 72 (1980) 293
19. Chavanis P.H. Statistical mechanics of violent relaxation in stellar systems. In: Antonic N., van Duijn C.J., Jager W., and Mikelic A. (Eds). Multiscale Problems in Science and Technology (2002), Springer, Berlin. astro-ph/0212205
20. Lynden-Bell D. MNRAS 136 (1967) 101
21. Chavanis P.H. Physica A 359 (2006) 177
22. Chavanis P.H. Physica A 365 (2006) 102
23. Kandrup H. ApJ 244 (1981) 316
24. Chavanis P.H., Sommeria J., and Robert R. ApJ 471 (1996) 385
25. Chavanis P.H. Physica A 332 (2004) 89
26. Hohl F., and Campbell J.W. Astron. J. 73 (1968) 611
27. Robert R., and Sommeria J. Phys. Rev. Lett. 69 (1992) 2776
28. Sommeria J., Staquet C., and Robert R. J. Fluid Mech. 233 (1991) 661
29. Antoniazzi A., Fanelli D., Barré J., Chavanis P.H., Dauxois T., and Ruffo S. Phys. Rev. E 75 (2007) 011112
30. Tsallis C. J. Stat. Phys. 52 (1988) 479
31. Chavanis P.H., and Sire C. Physica A 356 (2005) 419
32. Boghosian B.M. Phys. Rev. E 53 (1996) 4754
33. Brands H., Chavanis P.H., Pasmanter R., and Sommeria J. Phys. Fluids 11 (1999) 3465
34. Latora V., Rapisarda A., and Tsallis C. Physica A 305 (2002) 129
35. Campa A., Giansanti A., and Morelli G. Phys. Rev. E 76 (2007) 041117
36. Taruya A., and Sakagami M. Phys. Rev. Lett. 90 (2003) 181101
37. Yamaguchi Y.Y., Barré J., Bouchet F., Dauxois T., and Ruffo S. Physica A 337 (2004) 36
38. Pluchino A., Latora V., and Rapisarda A. Physica D 193 (2004) 315
39. Chavanis P.H. Eur. Phys. J. B 53 (2006) 487
40. J. Binney, S. Tremaine, Galactic Dynamics, in: Princeton Series in Astrophysics, Princeton, 1987
41. Mineau P., Feix M.R., and Rouet J.L. Astron. Astrophys. 228 (1990) 344
42. Morita H., and Kaneko K. Phys. Rev. Lett. 96 (2006) 050602
43. Bouchet F., and Dauxois T. Phys. Rev. E 72 (2005) 5103
44. Chavanis P.H. Eur. Phys. J. B 52 (2006) 47
45. Chandrasekhar S. ApJ 99 (1944) 47
46. Kandrup H. Astro. Space Sci. 97 (1983) 435
47. Hubbard J. Proc. R. Soc. Lond. A 260 (1961) 114
48. Chandrasekhar S. ApJ 97 (1943) 255
49. Lenard A. Ann. Phys. (NY) 10 (1960) 390
50. Balescu R. Phys. Fluids 3 (1960) 52
51. Bouchet F. Phys. Rev. E 70 (2004) 036113
52. Chavanis P.H., Vatteville J., and Bouchet F. Eur. Phys. J. B 46 (2005) 61
53. Chavanis P.H. Physica A 377 (2007) 469
54. Valageas P. Phys. Rev. E 74 (2006) 016606