Microscopic derivation of non-markovian thermalization of a brownian particle

Journal of Statistical Physics

Volumn 87, Issue 5-6, 1997, Pages 1005-1035

  Bocquet, Lydéric ^a   Piasecki, Jarosław ^a,b  

^a UNIVERSITÉ DE LYON   (France)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

Brownian motion; Fokker planck equation; Non markovian process

Indexed keywords

EID: 0031161526     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02181268     Document Type: Article

References (33)

1. N. Wax (ed.), Selected Papers on Noise and Stochastic Processes (Dover, New York, 1954).
2. A. Einstein, Investigations on the Theory of the Brownian Movement (Dover, New York, 1956).
3. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1990).
4. J. L. Lebowitz and E. Rubin, Phys. Rev. 131:2381 (1963); P. Résibois ard H. T. Davis, Physica 30:1077 (1964); J. L. Lebowitz and P. Résibois, Phys. Rev. 139:1101 (1965).
5. J. L. Lebowitz and E. Rubin, Phys. Rev. 131:2381 (1963); P. Résibois ard H. T. Davis, Physica 30:1077 (1964); J. L. Lebowitz and P. Résibois, Phys. Rev. 139:1101 (1965).
6. J. L. Lebowitz and E. Rubin, Phys. Rev. 131:2381 (1963); P. Résibois ard H. T. Davis, Physica 30:1077 (1964); J. L. Lebowitz and P. Résibois, Phys. Rev. 139:1101 (1965).
7. R. I. Cukier and J. M. Deutch, Phys. Rev. 177:240 (1969).
8. J. Mercer and T. Keyes, J. Stat. Phys. 32:35 (1983).
9. J. M. Deutch and I. Oppenheim, J. Chem. Phys. 54:3541 (1971); T. J. Murphy and J. L. Aguirre, J. Chem. Phys. 57:2098 (1972).
10. J. M. Deutch and I. Oppenheim, J. Chem. Phys. 54:3541 (1971); T. J. Murphy and J. L. Aguirre, J. Chem. Phys. 57:2098 (1972).
11. L. Bocquet, J. Piasecki, and J. P. Hansen, J. Stat. Phys. 76:505 (1994).
12. L. Bocquet, J. P. Hansen and J. Piasecki, Nuovo Cimento 16:981 (1994); J. Piasecki, L. Bocquet, and J. P. Hansen, Physica A 218:125 (1995).
13. L. Bocquet, J. P. Hansen and J. Piasecki, Nuovo Cimento 16:981 (1994); J. Piasecki, L. Bocquet, and J. P. Hansen, Physica A 218:125 (1995).
14. E. H. Hauge and A. Martin-Löf, J. Stat. Phys. 7:259 (1973).
15. E. J. Hinch, J. Fluid. Mech. 72:499 (1975).
16. A. J. Masters, Mol. Phys. 57:303 (1986).
17. J. N. Roux, Physica A 188:526 (1992).
18. H. A. Lorentz, Lessen over Theoretische Natuurkunde. Vol. V. Kinetische Problemen, (E. J. Brill, Leiden, 1921).
19. D. Bedeaux and P. Mazur, Physica A 76:247 (1974).
20. M. Duerr, D. Goldstein, and J. Lebowitz, Commun. Math. Phys. 78:507 (1981).
21. H. van Beijeren and J. R. Dorfman, J. Stat. Phys. 23:335 (1980).
22. H. Spohn, Rev. Mod. Phys. 53:569 (1980).
23. P. Résibois and M. De Leener, Classical Kinetic Theory of Fluids (Wiley, New York, 1977).
24. B. J. Alder and T. E. Wainwright, Phys. Rev. A 1:18 (1970); R. Zwanzig and M. Bixon, Phys. Rev. A 2:2005 (1970).
25. B. J. Alder and T. E. Wainwright, Phys. Rev. A 1:18 (1970); R. Zwanzig and M. Bixon, Phys. Rev. A 2:2005 (1970).
26. J. L. Lebowitz, J. K. Percus, and J. Sykes, Phys. Rev. 188:487 (1969).
27. Y. Pomeau and P. Résibois, Phys. Rep. 19C:64 (1975).
28. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions, (Benjamin, Reading, Massachusetts, (1975).
29. L. Bocquet, J. P. Hansen, and J. Plasecki, J. Stat. Phys. 76:527 (1994).
30. A. J. C. Ladd, Phys. Rev. Lett. 70:1339 (1993); J. Fluid Mech. 271:311 (1994).
31. A. J. C. Ladd, Phys. Rev. Lett. 70:1339 (1993); J. Fluid Mech. 271:311 (1994).
32. P. D. Fedele and Y. W. Kim, Phys. Rev. Lett. 44:691 (1980); J. X. Zhu, D. J. Durian, J. Mueller, D. A. Weitz, and D. J. Pine, Phys. Rev. Lett. 68:2559 (1992).
33. P. D. Fedele and Y. W. Kim, Phys. Rev. Lett. 44:691 (1980); J. X. Zhu, D. J. Durian, J. Mueller, D. A. Weitz, and D. J. Pine, Phys. Rev. Lett. 68:2559 (1992).