Hopping motion of interacting particles: From time-dependent interaction to directed transport

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

Volumn 65, Issue 1, 2002, Pages

  Porto, Markus ^a   Urbakh, Michael ^b   Klafter, Joseph ^b  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; TOPOLOGY; TRANSPORT PROPERTIES; VELOCITY MEASUREMENT;

DIRECTED TRANSPORT; HOPPING MOTIONS; INTERACTING PARTICLES;

ELEMENTARY PARTICLES;

EID: 37649027816     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.011108     Document Type: Article

References (57)

1. Science 283, 1667 (1999)].
2. V. Balzani, M. Gómez-López, and J.F. Stoddard, Acc. Chem. Res. 31, 405 (1998).
3. J.-P. Sauvage, 31, 611 (1998);
4. N. Armaroli et al., J. Am. Chem. Soc. 121, 4397 (1999); JACSATG. Schill, Catenanes, Rotaxanes, and Knots (Academic Press, New York, 1971);
5. M.C. Jiménez, C. Dietrich-Buchecker, and J.-P. Sauvage, Angew. Chem. Int. Ed. Engl. 39, 3284 (2000).
6. A.M. Brouwer et al., Science 291, 2124 (2001).
7. T.R. Kelly, H. De Silva, and R.A. Silva, Nature (London) 401, 150 (1999).
8. N. Koumura et al., 401, 152 (1999);
9. T.R. Kelly et al., J. Am. Chem. Soc. 122, 6935 (2000).
10. B. Yurke et al., Nature (London) 406, 605 (2000).
11. F.C. Simmel and B. Yurke, Phys. Rev. E 63, 041913 (2001).
12. R.K. Song et al., Science 290, 1555 (2000).
13. P. Hänggi and R. Bartussek, Brownian Rectifiers: How to Convert Brownian Motion into Directed Transport, in Nonlinear Physics in Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmerman, Lecture Notes in Physics (Springer, Berlin, 1996), pp. 294–308;
14. P. Reimann, e-print cond-mat/0010237, Phys. Rep. (to be published).
15. J. Howard, Nature (London) 389, 561 (1997).
16. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
17. A. Huxley, Nature (London) 391, 239 (1998).
18. J. Howard, 391, 240 (1998);
19. Y. Okada and N. Hirokawa, Science 283, 1152 (1999).
20. A. Ajdari and J. Prost, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers 315, 1635 (1992).
21. M.O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993).
22. R.D. Astumian and M. Bier, Phys. Rev. Lett. 72, 1766 (1994).
23. J. Prost, J.-F. Chauwin, L. Peliti, and A. Ajdari, 72, 2652 (1994);
24. M.O. Magnasco, 72, 2656 (1994);
25. C.R. Doering, W. Horsthemke, and J. Riordan, 72, 2984 (1994);
26. M.M. Millonas and D.R. Chialvo, 76, 550 (1996);
27. G.A. Cecchi and M.O. Magnasco, 76, 1968 (1996);
28. P. Jung, J.G. Kissner, and P. Hänggi, 76, 3436 (1996);
29. H.X. Zhou and Y.D. Chen, 77, 194 (1996);
30. I. Zapata, R. Bartussek, F. Sols, and P. Hänggi, 77, 2292 (1996);
31. L. Schimansky-Geier, M. Kschischo, and T. Fricke, 79, 3335 (1997);
32. B. Lindner, L. Schimansky-Geier, P. Reimann, P. Hänggi, and M. Nagaoka, Phys. Rev. E 59, 1417 (1999).
33. J.L. Mateos, Phys. Rev. Lett. 84, 258 (2000).
34. M. Porto, M. Urbakh, and J. Klafter, 85, 491 (2000).
35. K.W. Kehr, K. Mussawisade, T. Wichmann, and W. Dieterich, Phys. Rev. E 56, R2351 (1997).
36. Phys. Status Solidi B 205, 73 (1998).
37. A.B. Kolomeisky and B. Widom, J. Stat. Phys. 93, 633 (1998).
38. I.M. Sokolov, J. Phys. A 32, 2541 (1999).
39. J.A. Freund and L. Schimansky-Geier, Phys. Rev. E 60, 1304 (1999).
40. K.W. Kehr and Z. Koza, 61, 2319 (2000);
41. M. Porto, 64, 021109 (2001);
42. B. Derrida, J. Stat. Phys. 31, 433 (1983).
43. R.P. Feynman, R.B. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, 1963), Vol. 1, Chap. 46.
44. S. Flach, O. Yevtushenko, and Y. Zolotaryuk, Phys. Rev. Lett. 84, 2358 (2000).
45. P. Reimann, 86, 4992 (2001).
46. J. Rousselet et al., Nature (London) 370, 446 (1994).
47. L.P. Faucheux et al., Phys. Rev. Lett. 74, 1504 (1995).
48. L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996).
49. H. Linke et al., 44, 343 (1998);
50. 45, 406(E) (1999);
51. C. Mennerat-Robilliard et al., Phys. Rev. Lett. 82, 851 (1999).
52. C. Kettner et al., Phys. Rev. E 61, 312 (2000).
53. A. Ajdari, 61, R45 (2000).
54. M. Porto, M. Urbakh, and J. Klafter, Phys. Rev. Lett. 84, 6058 (2000).
55. Acta Phys. Pol. B 32, 295 (2001).
56. M. Porto, M. Urbakh, and J. Klafter, J. Luminescence 94-95, 137 (2001).
57. M. Porto, Phys. Rev. E 63, 030102(R) (2001).