Solving the generalized Langevin equation with the algebraically correlated noise

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 4, 1998, Pages 3829-3838

  Srokowski, T ^a   Ploszajczak M ^b  

^a INSTITUTE OF NUCLEAR PHYSICS   (Poland)

^b GANIL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003099977     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.3829     Document Type: Article

References (38)

1. P. Hänggi and P. Jung, Adv. Chem. Phys. 89, 229 (1995).
2. J. Klafter and G. Zumofen, Phys. Rev. E 49, 4873 (1994).PLEEE8
3. T. Geisel, A. Zacherl, and G. Radons, Z. Phys. B 71, 117 (1988).
4. G. Zumofen and J. Klafter, Physica D 69, 436 (1993).
5. R. F. Grote and J. T. Hynes, J. Chem. Phys. 73, 2715 (1980).JCPSA6
6. P. Hänggi, J. Stat. Phys. 30, 401 (1983).
7. A. Igarashi and T. Munakata, J. Phys. Soc. Jpn. 57, 2439 (1988).
8. A. Brissaud and U. Frisch, J. Quant. Spectrosc. Radiat. Transf. 11, 1767 (1971).
9. T. Srokowski and M. Płoszajczak, Phys. Rev. Lett. 75, 209 (1995).
10. S. Drożdż, J. Okołowicz, M. Płoszajczak, and T. Srokowski (unpublished);
11. S. Drożdż, J. Okołowicz, M. Płoszajczak, and T. Srokowski, Fractal Frontiers, edited by M. M. Novak and T. G. Devey (World Scientific, Singapore, 1997), pp. 141–150.
12. M. Płoszajczak and T. Srokowski, Ann. Phys. (N.Y.) 249, 236 (1996).APNYA6
13. H. Mori, Prog. Theor. Phys. 33, 423 (1965).
14. R. Kubo, Rep. Prog. Phys. 29, 255 (1966).
15. J. Boussinesq, Théorie Analitique de la Chaleur II (Gauthiers-Villars, Paris, 1903).
16. P. Hänggi, P. Talker, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
17. H. A. Kramers, Physica A 7, 284 (1940).
18. S. K. Sarker, J. H. Davies, F. S. Khan, and J. W. Wilkins, Phys. Rev. B 33, 7263 (1986).
19. K. Morawetz, R. Walke, and G. Roepke, Phys. Lett. A 190, 96 (1994).
20. D. B. T. Thoai and H. Haug, Z. Phys. B 91, 199 (1993).
21. S. Ayik, Z. Phys. A 350, 45 (1994).
22. Y. Abe, S. Ayik, P.-G. Reinhard, and E. Suraud, Phys. Rep. 275, 49 (1996).
23. B. J. Alder and T. E. Wainwright, Phys. Rev. A 1, 18 (1970).
24. R. M. Mazo, J. Chem. Phys. 54, 3712 (1971).JCPSA6
25. B. Cichocki and B. U. Felderhof, J. Stat. Phys. 87, 989 (1997).
26. B. U. Felderhof, J. Phys. A 11, 921 (1978).JPHAC5
27. B. J. Berne and G. D. Harp, Adv. Chem. Phys. 17, 63 (1970).
28. T. S. Chow and J. J. Hermans, J. Chem. Phys. 56, 3150 (1972).JCPSA6
29. B. J. Alder, in Molecular-dynamics Simulation of Statistical-Mechanical Systems (North-Holland, Amsterdam, 1986), p. 66.
30. A. Rahman, Phys. Rev. A 2, 405 (1964).
31. A. Brissaud and U. Frisch, J. Math. Phys. 15, 524 (1974).
32. A. T. Bharucha-Reid, Elements of the Theory of Markov Processes and Their Applications (McGraw-Hill, New York, 1960).
33. M. Płoszajczak and T. Srokowski, Phys. Rev. E 55, 5126 (1997).PLEEE8
34. V. I. Smirnov, The Course of Higher Mathematics (Russian edition), Moskva, 1951), Vol. 4(Gosvdarstviennoie.
35. J. Klafter, M. F. Shlesinger, and G. Zumofen, Phys. Today 33 (2), 33 (1996).
36. P. Levitz (unpublished).
37. By mistake, the case supposed to be marked by solid line in Fig. 2 of Ref. 32 has not appeared in the plot. This line has the shape 1/t.
38. J. Błocki, Y. Boneh, J. R. Nix, J. Randrup, M. Robel, A. J. Sierk, and W. J. Swiatecki, Ann. Phys. (N.Y.) 113, 330 (1978). APNYA6