Optimal transport in a ratchet coupled to a modulated environment: The role of Levy walks

Physica A: Statistical Mechanics and its Applications

Volumn 386, Issue 1, 2007, Pages 54-62

  Rosa, Jane ^a   Beims, Marcus W ^a  

^a FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

Author keywords

Anomalous diffusion; Brownian ratchets; Levy walks; Modulated environments

Indexed keywords

AMPLITUDE MODULATION; BROWNIAN MOVEMENT; CARRIER MOBILITY; OSCILLISTORS; PERIODIC STRUCTURES;

ANOMALOUS DIFFUSION; BROWNIAN RATCHETS; LEVY WALKS; MODULATED ENVIRONMENTS;

OPTIMAL CONTROL SYSTEMS;

EID: 35148868705     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.08.014     Document Type: Article

References (37)

1. Metzler R., and Klafter J. Phys. Rep. 339 (2000) 1
2. Shlesinger M.F., Zaslavsky G.M., and Klafter J. Nature 363 (1993) 31
3. Weeks E.R., and Swinney H.L. Phys. Rev. E 57 (1998) 4915
4. Weeks E.R., Urbach J.S., and Swinney H.L. Physica D 97 (1996) 291
5. Bao J.-D., Zhou Y., and Lü K. Phys. Rev. E 74 (2006) 041125
6. Goychuk I., Heinsalu E., Patriarca M., Schmid G., and Hänggi P. Phys. Rev. E 73 (2006) 020101R
7. Bao J.-D. Physica A 346 (2005) 269
8. Brockman D., and Geisel T. Phys. Rev. Lett. 90 (2003) 170601
9. Bao J.-D. Phys. Lett. A 314 (2003) 203
10. Denisov S., Klafter J., Urbakh M., and Flach S. Physica D 170 (2002) 131
11. Magnasco M.O. Phys. Rev. Lett. 71 (1993) 1477
12. Mateos J.L. Phys. Rev. Lett. 84 (2000) 258
13. Chen L.Y., and Nash P.L. J. Chem. Phys. 121 (2004) 3984
14. Lehmann J., Kohler S., May V., and Hänggi P. J. Chem. Phys. 121 (2004) 2278
15. Reiman P. Phys. Rep. 361 (2002) 57
16. Ferrando R., Spadacini R., and Tommei G.E. Phys. Rev. E 48 (1993) 2437
17. Ferrando R., Montalenti F., Spadacini R., and Tommei G.E. Phys. Rev. E 61 (2000) 6344
18. Branka A.C., Das A.K., and Heyes D.M. J. Chem. Phys. 113 (2000) 9911
19. Leibler S., and Huse D.A. J. Muscle Res. Cell 12 (1991) 482
20. Vale R.D., and Oosawa F. Adv. Biophys. 12 (1990) 97
21. Suzuki D., and Munakata T. Phys. Rev. E 68 (2006) 021906
22. Beck M., Goldobin E., Neuhaus M., Siegel M., Kleiner R., and Koelle D. Phys. Rev. Lett. 97 (2005) 090603
23. Sintes T., and Sumithra K. Physica A 312 (2002) 86
24. Sumithra K., and Sintes T. Physica A 297 (2001) 17
25. Marchesoni F., Savel'ev S., and Nori F. Phys. Rev. E 73 (2006) 021102
26. Rosa J., and Beims M.W. Physica A 342 (2004) 29
27. J. Rosa, M.W. Beims, submitted for publication.
28. Weiss U. Quantum Dissipative Systems (1999), World Scientific, Singapore
29. Cortés E., West B.J., and Lindenberg K. J. Chem. Phys. 82 (1985) 2708
30. Zwanzig R. Ann. Rev. Chem. Phys. 16 (1965) 67
31. Mori H. Prog. Theor. Phys. 33 (1965) 423
32. Ullersma P. Physica 32 (1966) 27
33. Zwanzig R. J. Stat. Phys. 9 (1973) 215
34. Castro Neto A.H., and Caldeira A.O. Phys. Rev. Lett. 67 (1991) 1960
35. Caldeira A.O., and Leggett A.J. Ann. Phys. 149 (1983) 374
36. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in Fortran (1992), Cambridge University Press, USA
37. Shlesinger M.F., West J.B., and Klafter J. Phys. Rev. Lett. 58 (1987) 1100