Single particle dynamics of many-body systems described by Vlasov-Fokker-Planck equations

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

Volumn 319, Issue 1-2, 2003, Pages 173-180

  Frank, T D ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FOKKER PLANCK EQUATION; STORAGE RINGS;

A-PARTICLES; ELECTRON STORAGE RING; LANGEVIN EQUATION; MANY-BODY SYSTEMS; PARTICLE SYSTEMS; RANDOM WALK; SINGLE PARTICLE; SINGLE-PARTICLE DYNAMICS;

VLASOV EQUATION;

ARTICLE; ELECTRON; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; MOLECULAR MODEL; PARTICLE SIZE; STORAGE;

EID: 1042302190     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2003.10.001     Document Type: Article

References (33)

1. Chao A. Physics of Collective Instabilities in High Energy Accelerators. 1993;Wiley, New York.
2. Davidson R.C., Qin H., Wang T.S.F. Phys. Lett. A. 252:1999;213.
3. Davidson R.C., Qin H., Channell P.J. Phys. Lett. A. 258:1999;297.
4. Davidson R.C., Qin H. Physics of Intense Charged Particle Beam in High Energy Accelerator. 2001;World Scientific, Singapore.
5. Shobuda Y., Hirata K. Part. Accel. 62:1999;165.
6. Shobuda Y., Hirata K. Phys. Rev. E. 64:2001;67501.
7. Heifets S. Phys. Rev. E. 54:1996;2889.
8. Heifets S., Podobedov B. Phys. Rev. ST-AB. 2:1999;044402.
9. Heifets S. Phys. Rev. ST-AB. 4:2001;044401.
10. Stupakov G.V., Breizman B.N., Pekker M.S. Phys. Rev. E. 55:1997;5976.
11. Venturini M., Warnock R. Phys. Rev. Lett. 89:2002;224802.
12. Cairns R.A. Plasma Physics. 1985;Blackie, Philadelphia.
13. Dnestrovskii Y.N., Kostomarov D.P. Numerical Simulations of Plasmas. 1986;Springer, Berlin.
14. Klimontovich Y.L. Statistical Physics. 1986;Harwood Academic, New York.
15. Nicholson D.R. Introduction to Plasma Theory. 1983;Wiley, New York.
16. Nekrasov F.M., Elfimov A.G., de Azevedo C.A., de Assis A.S. Phys. Lett. A. 251:1999;44.
17. Risken H. The Fokker-Planck Equation - Methods of Solution and Applications. 1989;Springer, Berlin.
18. Plastino A.R., Plastino A. Physica A. 222:1995;347.
19. Kaniadakis G. Phys. Lett. A. 288:2001;283.
20. Shiino M. Phys. Rev. E. 67:2003;056118.
21. Frank T.D. Physica A. 301:2001;52.
22. Frank T.D. Phys. Lett. A. 305:2002;150.
23. Frank T.D. Physica A. 320:2003;204.
24. T.D. Frank, Stochastic feedback, nonlinear families of Markov processes, and nonlinear Fokker-Planck equations, Physica A (2003), in press.
25. Venturini M. Phys. Rev. ST-AB. 5:2002;054403.
26. Haissinski J. Nuovo Cimento B. 18:1973;72.
27. Frank T.D., Daffertshofer A. Physica A. 272:1999;497.
28. Frank T.D. Phys. Lett. A. 290:2001;93.
29. Frank T.D., Daffertshofer A., Peper C.E., Beek P.J., Haken H. Physica D. 150:2001;219.
30. Frank T.D., Daffertshofer A., Beek P.J. J. Biol. Phys. 28:2002;39.
31. Weisstein E.W. CRC Concise Encyclopedia of Mathematics. 1998;Chapman and Hall/CRC, Boca Raton, FL.
32. Thomas C., Bartonlini R., Botman J.I.M., Dattoli G., Mezi L., Migliorati M. Europhys. Lett. 60:2002;66.
33. Moore E.N. Theoretical Mechanics. 1983;Wiley, New York.