Generalized Fokker-Planck equation, Brownian motion, and ergodicity

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

Volumn 77, Issue 6, 2008, Pages

  Plyukhin, A V ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; COMPUTER SIMULATION; CORRELATION METHODS; FOKKER PLANCK EQUATION; FUNCTION EVALUATION; MOLECULES; NONLINEAR EQUATIONS; REAL TIME SYSTEMS; RECONNAISSANCE AIRCRAFT; SEDIMENTATION; TIMING JITTER;

AMERICAN PHYSICAL SOCIETY (APS); BINARY COLLISION (BC); BROWNIAN MOTIONS; COLLISION TIME; CORRELATION FUNCTIONS (CF); ERGODICITY; FINITE TIME; FIRST PRINCIPLES; FOKKER PLANCK EQUATION (FPE); GENERAL (CO); LANGEVIN EQUATION (LE); MASS RATIOS; MICROSCOPIC THEORY; NUMERICAL SIMULATIONS; PARTICLE COLLISIONS; RAYLEIGH MODELS; STATIONARY DISTRIBUTIONS;

EQUATIONS OF MOTION;

EID: 46349086711     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.061136     Document Type: Article

References (33)

1. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1989).
2. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
3. N. G. van Kampen, Can. J. Phys. CJPHAD 0008-4204 39, 551 (1961).
4. C. T. J. Alkemade, N. G. van Kampen, and D. K. C. MacDonald, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 271, 449 (1963).
5. A. V. Plyukhin, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.11.068 351, 198 (2005).
6. Ch. Gruber and J. Piasecki, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99)00095-3 268, 412 (1999);
7. E. Kestemont, C. Van den Broeck, and M. M. Mansour, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2000-00129-8 49, 143 (2000);
8. T. Munakata and H. Ogawa, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.036119 64, 036119 (2001);
9. A. V. Plyukhin and J. Schofield, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.021112 69, 021112 (2004).
10. P. Meurs, C. Van den Broeck, and A. Garcia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.051109 70, 051109 (2004).
11. C. Van den Broeck, R. Kawai, and P. Meurs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.090601 93, 090601 (2004);
12. C. Van den Broeck, P. Meurs, and R. Kawai, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/010 7, 10 (2005).
13. A. V. Plyukhin and A. M. Froese, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.031121 76, 031121 (2007).
14. M. F. Gelin and D. S. Kosov, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2740257 126, 244501 (2007).
15. J. Lebowitz and E. Rubin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.131.2381 131, 2381 (1963);
16. P. Résibois and H. Davis, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(64)90099-0 30, 1077 (1963);
17. J. Lebowitz and P. Résibois, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.139.A1101 139, A1101 (1965).
18. H. Mori, H. Fujisaka, and H. Shigematsu, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.51.109 51, 109 (1974).
19. E. L. Chang, R. M. Mazo, and J. T. Hynes, Mol. Phys. MOPHAM 0026-8976 10.1080/00268977400102321 28, 997 (1974).
20. J. T. Hynes, R. Kapral, and M. Weinberg, Physica A PHYADX 0378-4371 10.1016/0378-4371(75)90162-4 80, 105 (1975).
21. N. van Kampen and I. Oppenheim, Physica A PHYADX 0378-4371 10.1016/0378-4371(86)90183-4 138, 231 (1986).
22. J. Seke, J. Phys. A JPHAC5 0305-4470 23, L6 (1990);
23. J. Seke, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/9/021 24, 2121 (1991).
24. A. V. Plyukhin, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10072- 2 75, 15 (2006).
25. M. Lissia and P. Quarati, Europhys. News EUPNAS 0531-7479 36, 211 (2005).
26. G. Kaniadakis and P. Quarati, Physica A PHYADX 0378-4371 10.1016/0378-4371(93)90116-L 192, 677 (1993).
27. A. V. Plyukhin and J. Schofield, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.041107 68, 041107 (2003).
28. P. Mazur and I. Oppenheim, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(70)90005-4 50, 241 (1970).
29. R. M. Mazo, Brownian Motion (Oxford University Press, New York, 2002), Chap..
30. E. G. D. Cohen, Physica A PHYADX 0378-4371 10.1016/S0378-4371(01)00634-3 305, 19 (2002).
31. M. Annunziato, P. Grigolini, and B. J. West, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.011107 64, 011107 (2001).
32. E. Barkai, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000028068. 93241.3a 115, 1537 (2004).
33. J. D. Bao, P. Hänggi, and Y. Z. Zhuo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.061107 72, 061107 (2005).