Long-time translational and rotational brownian motion in two dimensions

Journal of Statistical Physics

Volumn 87, Issue 5-6, 1997, Pages 989-1003

  Cichocki, B ^a   Felderhof, B U ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

Brownian motion; Long time tails

Indexed keywords

EID: 0031160961     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02181267     Document Type: Article

References (43)

1. B. J. Alder and T. E. Wainwright, Phys. Rev. A 1:18 (1970).
2. J. R. Dorfman and E. G. D. Cohen, Phys. Rev. Lett. 25:1257 (1970).
3. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, Phys. Rev. Lett. 25:1254 (1970); J. Stat. Phys. 15:7, 23 (1976).
4. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, Phys. Rev. Lett. 25:1254 (1970); J. Stat. Phys. 15:7, 23 (1976).
5. R. Zwanzig and M. Bixon, Phys. Rev. A 2:2005 (1970).
6. A. Widom, Phys. Rev. A 3:1394 (1971).
7. E. H. Hauge and A. Martin-Löf, J. Stat. Phys. 7:259 (1973).
8. D. Bedeaux and P. Mazur, Physica 76:247 (1974).
9. E. J. Hinch, J. Fluid Mech. 72:499 (1975).
10. B. Cichocki and B. U. Felderhof, Physica A 211:25 (1994).
11. Y. W. Kim and J. E. Matta, Phys. Rev. Lett. 31:208 (1973).
12. P. D. Fedele and Y. W. Kim, Phys. Rev. Lett. 44:691 (1980).
13. G. L. Paul and P. N. Pusey, J. Phys. A 14:3301 (1981).
14. C. Morkel, C. Gronemeyer, W. Gläser, and J. Bosse, Phys. Rev. Lett. 58:1873 (1987).
15. M. A. van der Hoef and D. Frenkel, Phys. Rev. A 41:4277 (1990).
16. J. J. C. Ladd, Phys. Rev. Lett. 70:1339 (1993).
17. J. J. Masters and T. Keyes, J. Stat. Phys. 39:215 (1985).
18. F. Garisto and R. Kapral, Phys. Rev. A 13:1652 (1976).
19. R. Hocquart and E. J. Hinch, J. Fluid Mech. 137:217 (1983).
20. B. Cichocki and B. U. Felderhof, Physica A 213:465 (1995).
21. C. P. Lowe, D. Frenkel, and A. J. Masters, J. Chem. Phys. 103:1582 (1995).
22. B. Cichocki and B. U. Felderhof, J. Chem. Phys. 104:7363 (1996).
23. P. Mazur and D. Bedeaux, Physica 76:235 (1974).
24. B. U. Felderhof, Physica A 84:557 (1976).
25. B. U. Felderhof, Physica A 84:569 (1976); 88:61 (1977).
26. B. U. Felderhof, Physica A 84:569 (1976); 88:61 (1977).
27. R. L. Varley and R.-L. Zhou, Physica A 127:363 (1984).
28. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
29. C. W. Oseen, Neuere Methoden und Ergebnisse in der Hydrodynamik (Akademische Verlagsgesellschaft, Leipzig, 1927), p. 29.
30. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967), p. 245.
31. H. A. Lorentz, Zittingsverslag Kon. Acad. Wet. Amsterdam 5:168 (1896).
32. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Noordhoff, Leyden, 1973), p. 85.
33. S. Kim and S. J. Karrila, Microhydrodynamics: Principles and Selected Applications (Butterworth, Boston, 1991), p. 154.
34. R. Schmitz and B. U. Felderhof, Physica A 116:163 (1982).
35. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Oxford University Press, Oxford, 1973), p. 341.
36. R. Kubo, Rep. Prog. Phys. 29:255 (1966).
37. B. U. Felderhof, J. Phys. A 11:921 (1978).
38. D. Edwardes, Q. J. Math. 26:70 (1892).
39. R. Hocquart, C. R. Acad. Sci. Paris 284A:1421 (1977).
40. T. E. Wainwright, B. J. Alder, and D. Gass, Phys. Rev. A 4:233 (1971).
41. M. A. van der Hoef and D. Frenkel, Phys. Rev. Lett. 66:1591 (1991).
42. M. A. van der Hoef and D. Frenkel, Transport Theory Stat. Phys. 24:1227 (1995).
43. C. P. Lowe and D. Frenkel, Physica A 220:251 (1995).