Interaction-controlled Brownian motion in a tilted periodic potential

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 1, 2009, Pages

  Evstigneev, Mykhaylo ^a   Von Gehlen, Sebastian ^a   Reimann, Peter ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOTIONS; BROWNIAN PARTICLES; INTER-PARTICLE SEPARATIONS; INTERACTION STRENGTHS; NONMONOTONIC; PERIODIC POTENTIALS;

BROWNIAN MOVEMENT;

EID: 59449091155     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.011116     Document Type: Article

References (44)

1. R. L. Stratonovich, Radiotekh. Elektron. (Moscow) 3, 497 (1958)
2. [English translation in Non-linear Transformations of Stochastic Processes, edited by, P. I. Kuznetsov, R. L. Stratonovich, and, V. I. Tikhonov, (Pergamon, Oxford, 1965)].
3. P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J. M. Rubi, and A. Pérez-Madrid, Phys. Rev. Lett. 87, 010602 (2001); 10.1103/PhysRevLett. 87.010602
4. P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J. M. Rubi, and A. Pérez-Madrid, Phys. Rev. E 65, 031104 (2002). 10.1103/PhysRevE.65. 031104
5. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997). 10.1103/RevModPhys.69.1269
6. P. Reimann, Phys. Rep. 361, 57 (2002). 10.1016/S0370-1573(01)00081-3
7. A. Ajdari, J. Phys. I 4, 1577 (1994). 10.1051/jp1:1994208
8. I. Derényi and T. Vicsek, Proc. Natl. Acad. Sci. U.S.A. 93, 6775 (1996); 10.1073/pnas.93.13.6775
9. I. Derényi and T. Vicsek, Physica A 249, 397 (1998). 10.1016/S0378-4371(97)00498-6
10. Z. Csahók, F. Family, and T. Vicsek, Phys. Rev. E 55, 5179 (1997). 10.1103/PhysRevE.55.5179
11. S. Klumpp, A. Mielke, and C. Wald, Phys. Rev. E 63, 031914 (2001). 10.1103/PhysRevE.63.031914
12. H.-Y. Wang and J.-D. Bao, Physica A 337, 13 (2004); 10.1016/j.physa.2004. 01.031
13. H.-Y. Wang and J.-D. Bao, Physica A 357, 373 (2005); 10.1016/j.physa. 2005.01.059
14. H.-Y. Wang and J.-D. Bao, Physica A 374, 33 (2007). 10.1016/j.physa.2006. 07.005
15. J. L. Mateos, Physica A 351, 79 (2005). 10.1016/j.physa.2004.12.009
16. S. E. Mangioni and H. S. Wio, Eur. Phys. J. B 61, 67 (2008). 10.1140/epjb/e2008-00027-y
17. E. M. Craig, M. J. Zuckermann, and H. Linke, Phys. Rev. E 73, 051106 (2006). 10.1103/PhysRevE.73.051106
18. J. Menche and L. Schimansky-Geier, Phys. Lett. A 359, 90 (2006). 10.1016/j.physleta.2006.02.067
19. S. von Gehlen, M. Evstigneev, and P. Reimann, Phys. Rev. E 77, 031136 (2008). 10.1103/PhysRevE.77.031136
20. L. Prandtl, Z. Angew. Math. Mech. 8, 85 (1928). 10.1002/zamm.19280080202
21. G. A. Tomlinson, Philos. Mag. 7, 905 (1929).
22. A. E. Filippov, J. Klafter, and M. Urbakh, Phys. Rev. Lett. 92, 135503 (2004). 10.1103/PhysRevLett.92.135503
23. S. Maier, Y. Sang, T. Filleter, M. Grant, R. Bennewitz, E. Gnecco, and E. Meyer, Phys. Rev. B 72, 245418 (2005). 10.1103/PhysRevB.72.245418
24. F. Family, H. G. E. Hentschel, and Y. Braiman, J. Phys. Chem. B 104, 3984 (2000). 10.1021/jp994260i
25. O. M. Braun and Y. S. Kivshar, Phys. Rep. 306, 1 (1998). 10.1016/S0370-1573(98)00029-5
26. M. Müser, in Fundamentals of Friction and Wear on the Nanoscale, edited by, E. Gnecco, and, E. Meyer, (Springer, Berlin, 2007), p. 177.
27. H. D. Vollmer, Z. Phys. B 33, 103 (1979). 10.1007/BF01325818
28. O. M. Braun, Phys. Rev. E 63, 011102 (2000). 10.1103/PhysRevE.63.011102
29. O. M. Braun, R. Ferrando, and G. E. Tommei, Phys. Rev. E 68, 051101 (2003). 10.1103/PhysRevE.68.051101
30. C. Fusco and A. Fasolino, Thin Solid Films 428, 34 (2003). 10.1016/S0040-6090(02)01258-0
31. S. Gonçalves, V. M. Kenkre, and A. R. Bishop, Phys. Rev. B 70, 195415 (2004). 10.1103/PhysRevB.70.195415
32. S. Gonçalves, C. Fusco, A. R. Bishop, and V. M. Kenkre, Phys. Rev. B 72, 195418 (2005). 10.1103/PhysRevB.72.195418
33. X. R. Qin, B. S. Swartzentruber, and M. G. Lagally, Phys. Rev. Lett. 10.1103/PhysRevLett.85.3660 85, 3660 (2000).
34. E. Heinsalu, M. Patriarca, and F. Marchesoni, Phys. Rev. E 77, 021129 (2008). 10.1103/PhysRevE.77.021129
35. A. Libál, C. Reichhardt, B. Jankó, and C. J. Olson Reichhardt, Phys. Rev. Lett. 96, 188301 (2006). 10.1103/PhysRevLett.96.188301
36. C. Lutz, M. Kollmann, and C. Bechinger, Phys. Rev. Lett. 93, 026001 (2004). 10.1103/PhysRevLett.93.026001
37. C. Lutz, M. Reichert, H. Stark, and C. Bechinger, Europhys. Lett. 74, 719 (2006). 10.1209/epl/i2006-10017-9
38. K. Luo, T. Ala-Nissila, S.-C. Ying, and A. Bhattacharya, Phys. Rev. Lett. 100, 058101 (2008). 10.1103/PhysRevLett.100.058101
39. D. S. Fisher, Phys. Rev. B 31, 1396 (1985). 10.1103/PhysRevB.31.1396
40. L. L. Bonilla, Phys. Rev. B 35, 3637 (1987). 10.1103/PhysRevB.35.3637
41. A. V. Ustinov, M. Cirillo, and B. A. Malomed, Phys. Rev. B 47, 8357 (1993). 10.1103/PhysRevB.47.8357
42. H. S. J. van der Zant, T. P. Orlando, S. Watanabe, and S. H. Strogatz, Phys. Rev. Lett. 74, 174 (1995). 10.1103/PhysRevLett.74.174
43. P. Reimann, R. Kawai, C. Van den Broeck, and P. Hänggi, Europhys. Lett. 45, 545 (1999); 10.1209/epl/i1999-00202-4
44. C. Van den Broeck, I. Bena, P. Reimann, and J. Lehmann, Ann. Phys. (Leipzig) 9, 713 (2000). 10.1002/1521-3889(200010)9:9/10<713::AID- ANDP713>3.0.CO;2-I