Relaxation of the distribution function tails for systems described by Fokker-Planck equations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 6, 2005, Pages

  Chavanis, Pierre Henri ^a   Lemou, Mohammed ^b  

^a Lab de Physique Théorique   (France)

^b INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; DIFFUSION; FRICTION; HAMILTONIANS; HYDRODYNAMICS; NONLINEAR EQUATIONS; RELAXATION PROCESSES;

FOKKER-PLANCK EQUATIONS; FRICTION FORCE; HAMILTONIAN MEAN FIELD (HMF) MODEL; VELOCITY DISTRIBUTION;

FUNCTION EVALUATION;

EID: 33244483842     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.061106     Document Type: Article

References (23)

1. H. Risken, The Fokker-Planck Equation-Methods of Solution and Applications (Springer, Berlin, 1989).
2. S. Chandrasekhar, Astrophys. J. ASJOAB 0004-637X 10.1086/144517 97, 255 (1943).
3. R. Balescu, Statistical Mechanics of Charged Particles (Interscience, New York, 1963).
4. P. H. Chavanis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.R1199 58, R1199 (1998).
5. P. H. Chavanis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.026309 64, 026309 (2001).
6. P. H. Chavanis, in Dynamics and Thermodynamics of Systems with Long Range Interactions, edited by, T. Dauxois, S. Ruffo, E. Arimondo, and, M. Wilkens, Lecture Notes in Physics (Springer, Berlin, 2002), e-print cond-mat/0212223.
7. P. H. Chavanis, Physica A PHYADX 0378-4371 361, 81 (2006).
8. P. H. Chavanis and M. Lemou (in preparation).
9. F. Bouchet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.036113 70, 036113 (2004).
10. F. Bouchet and T. Dauxois, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.045103 72, 045103 (R) (2005).
11. P. H. Chavanis, J. Vatteville, and F. Bouchet, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00234-0 46, 61 (2005).
12. S. Ichimaru, Basic Principles of Plasma Physics (W.A. Benjamin, Inc., Reading, MA, 1973).
13. S. Marksteiner, K. Ellinger, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.3409 53, 3409 (1996).
14. E. Lutz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.190602 93, 190602 (2004).
15. I. F. Potapenko, A. V. Bobylev, C. A. de Azevedo, and A. S. de Assis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.7159 56, 7159 (1997).
16. P. H. Chavanis, J. Sommeria, and R. Robert, Astrophys. J. ASJOAB 0004-637X 10.1086/177977 471, 385 (1996).
17. R. Robert and C. Rosier, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02199111 86, 481 (1997).
18. P. H. Chavanis, e-print cond-mat/0509726.
19. E. Lutz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.051402 67, 051402 (R) (2003).
20. A. R. Plastino and A. Plastino, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00211-1 222, 347 (1995).
21. C. Tsallis and D. J. Bukman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.R2197 54, R2197 (1996).
22. P. H. Chavanis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036108 68, 036108 (2003).
23. L. C. Evans, Partial Differential Equations, Graduate Studies in Mathematics Vol. 19 (American Mathematical Society, Providence, RI, 2002).