Biased continuous time random walks between parallel plates

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

Volumn 56, Issue 2, 1997, Pages 1445-1454

  Compte, Albert ^a   Metzler, Ralf ^b   Camacho, Juan ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000039725     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.1445     Document Type: Article

References (43)

1. E W. Montroll and G H. Weiss, J. Math. Phys. (N.Y.)6, 167 (1965).JMAPAQ
2. E W. Montroll and H. Scher, J. Stat. Phys.9, 101 (1973)
3. H. Scher and E W. Montroll, Phys. Rev. B7, 4491 (1973)
4. M F. Shlesinger, J. Stat. Phys.10, 421 (1974)
5. H. Scher and E W. Montroll, Phys. Rev. B12, 2455 (1975)
6. G. Pfister and H. Scher, Adv. Phys.27, 747 (1978)
7. J. Klafter and R. Silbey, Phys. Rev. Lett.44, 55 (1980).PRLTAO
8. M. Shlesinger, B. West, and J. Klafter, Phys. Rev. Lett.58, 1100 (1987).PRLTAO
9. A. Compte, Phys. Rev. E55, 6821 (1997).PLEEE8
10. G I. Taylor, Proc. R. Soc. London, Ser. A219, 186 (1953)
11. 223, 446 (1954)
12. 225, 473 (1954).
13. H. Brenner, J. Colloid Interface Sci.71, 189 (1879)
14. H. Brenner, Physicochem. Hydrodyn.1, 91 (1980)
15. H. Brenner and D A. Edwards, Macrotransport Processes (Butterworth-Heinemann, Boston, 1993).
16. G H. Weiss, Sep. Sci. Technol.17, 1609 (1982).
17. E. Yarmola, P P. Calabrese, A. Chrambach, and G H. Weiss, J. Phys. Chem. B101, 2381 (1997).
18. R. Sidney, J. Koplik, and D. Wilkinson, J. Phys. A20, 1543 (1987).JPHAC5
19. R T. Foister and T. G. M. Van de Ven, J. Fluid Mech.96, 105 (1980).JFLSA7
20. P A. Alemany, Chaos Solitons Fractals6, 7 (1995)
21. K V. Chukbar, Zh. Éksp. Teor. Fiz. 108, 1875 (1995) [ JETP81, 1025 (1995)]
22. A. Compte, Phys. Rev. E53, 4191 (1996); PLEEE8
23. R. Hilfer and L. Anton, 51, R848 (1995)
24. H E. Roman and P A. Alemany, J. Phys. A27, 3407 (1994).JPHAC5
25. B J. West, P. Grigolini, R. Metzler, and T F. Nonnenmacher, Phys. Rev. E55, 99 (1997).PLEEE8
26. K V. Chukbar, Zh. Éksp. Teor. Fiz. 109, 1335 (1996) [JETP82, 719 (1996)]
27. A. Compte, D. Jou, and Y. Katayama, J. Phys. A30, 1023 (1997); JPHAC5
28. M O. Vlad, Chaos Solitons Fractals4, 191 (1994).CSFOEH
29. R. Aris, Proc. R. Soc. London, Ser. A235, 67 (1956).PRLAAZ
30. J. Camacho, Phys. Rev. E47, 1049 (1993); PLEEE8
31. 48, 310 (1993)
32. 48, 1844 (1993)
33. I. Frankel and H. Brenner, J. Fluid Mech.204, 97 (1989); JFLSA7
34. M. Pagitsas, Physicochem. Hydrodyn.11, 467 (1989).
35. C. Van den Broeck, Physica A168, 677 (1990).PHYADX
36. G. Soto-Campos and R M. Mazo, J. Stat. Phys.85, 165 (1996).JSTPBS
37. G. Zumofen and J. Klafter, Phys. Rev. E51, 2805 (1995).PLEEE8
38. J. Klafter, A. Blumen, and M. Shlesinger, Phys. Rev. A35, 3081 (1987).PLRAAN
39. C. Van Den Broeck, Physica A112, 343 (1982).PHYADX
40. Higher Transcendental Functions, Bateman Manuscript Project, edited by A. Erdélyi (McGraw Hill, New York, 1955), Vol. III.
41. A M. Mathai and R K. Saxena, The H-Function with Applications in Statistics and Other Disciplines (Wiley Eastern, New Delhi, 1978).
42. R. Metzler and T F. Nonnenmacher, J. Phys. A30, 1089 (1997).JPHAC5
43. H. Schiessel, R. Metzler, A. Blumen, and T F. Nonnenmacher, J. Phys. A28, 6567 (1995). JPHAC5