The Vlasov equation and the Hamiltonian mean-field model

Physica A: Statistical Mechanics and its Applications

Volumn 365, Issue 1, 2006, Pages 177-183

  Barré, Julien ^a   Bouchet, Freddy ^b   Dauxois, Thierry ^c   Ruffo, Stefano ^d   Yamaguchi, Yoshiyuki Y ^e  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

^b INSTITUT NON LINÉAIRE DE NICE   (France)

^c UNIVERSITÉ DE LYON   (France)

^d UNIVERSITY OF FLORENCE   (Italy)

^e KYOTO UNIVERSITY   (Japan)

Author keywords

Hamiltonian dynamics; Long range interactions; Nonlinear stability; Vlasov equation

Indexed keywords

FUNCTIONS; MAGNETIZATION; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS;

HAMILTONIAN DYNAMICS; LONG-RANGE INTERACTIONS; NONLINEAR STABILITY; VLASOV EQUATION;

HAMILTONIANS;

EID: 33646469421     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.01.005     Document Type: Article

References (17)

1. Antoni M., and Ruffo S. Phys. Rev. E 52 (1995) 2361
2. Barré J., Bouchet F., Dauxois T., and Ruffo S. J. Stat. Phys. 119 (2005) 677
3. Latora V., Rapisarda A., and Tsallis C. Phys. Rev. E 64 (2001) 056134
4. Tsallis C. J. Stat. Phys. 52 (1988) 479
5. Braun W., and Hepp K. Comm. Math. Phys. 56 (1977) 101
6. Spohn H. Large Scale Dynamics of Interacting Particles (1991), Springer, Berlin
7. Bouchet F., and Dauxois T. Phys. Rev. E 72 (2005) 045103 (R)
8. Nicholson D.R. Introduction to Plasma Theory (1983), Wiley, New York
9. Yamaguchi Y.Y., Barré J., Bouchet F., Dauxois T., and Ruffo S. Physica A 337 (2004) 36-66
10. Konishi T., and Kaneko K. J. Phys. A 25 (1992) 6283
11. Anteneodo C., and Vallejos R. Physica A 344 (2004) 383
12. Lynden-Bell D., and Wood R. Mon. Not. R. Ast. Soc. 138 (1968) 495
13. P.H. Chavanis, Statistical mechanics of two-dimensional vortices and stellar systems, in: T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens (Eds.), Dynamics and Thermodynamics in Systems with Long-range Interactions, Lecture Notes in Physics, vol. 602, Springer, Berlin, 2002;
14. P.H. Chavanis, also cond-mat/0212223; P.H. Chavanis, C. Sire, Physica A 356 (2005) 419;
15. P.H. Chavanis, cond-mat/0509726.
16. E. Caglioti, F. Rousset, Long time estimates in the mean field limit, 2004, preprint.
17. M. Hauray, P.E. Jabin, N particles approximations of the Vlasov equations with singular potential, 2003, preprint.