Molecular motor based entirely on the Coulomb interaction

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

Volumn 63, Issue 3, 2001, Pages

  Porto, Markus ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; COMPUTATIONAL GEOMETRY; MOLECULAR STRUCTURE; RANDOM PROCESSES;

COULOMB INTERACTIONS; MOLECULAR MOTORS;

MOLECULAR DYNAMICS;

EID: 0035277734     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.030102     Document Type: Article

References (56)

1. G. Binning, H. Rohrer, C. Gerber, and E. Weibel, Phys. Rev. Lett. 49, 57 (1982).
2. G. Binning, C.F. Quate, and C. Gerber, Phys. Rev. Lett. 56, 930 (1986).
3. G. Binning and H. Rohrer, Rev. Mod. Phys. 59, 615 (1987).
4. J.K. Gimzewski and C. Joachim, Science 283, 1683 (1999).
5. V. Balzani, M. Gómez-López, and J.F. Stoddard, Acc. Chem. Res. 31, 405 (1998).
6. J.-P. Sauvage, Acc. Chem. Res. 31, 611 (1998);
7. N. Armaroli, J. Am. Chem. Soc. 121, 4397 (1999).
8. J.K. Gimzewski, Science 281, 531 (1998).
9. T.R. Kelly, H. De Silva, and R.A. Silva, Nature (London) 401, 150 (1999);
10. Nature (London)N. Koumura, 401, 152 (1999);
11. T.R. Kelly, R.A. Silva, H. De Silva, S. Jasmin, and Y. Zhao, J. Am. Chem. Soc. 122, 6935 (2000).
12. R.P. Feynman, Chem. Eng. Sci. 23, 22 (1960) [reprinted in Miniaturization, edited by H.D. Gilbert (Reinhold, New York, 1961)].
13. J. Howard, Nature (London) 389, 561 (1997).
14. A. Huxley, Nature (London) 391, 239 (1998);
15. Nature (London)J. Howard, 391, 240 (1998).
16. Y. Okada and N. Hirokawa, Science 283, 1152 (1999).
17. R.D. Vale and R.A. Milligan, Science 288, 88 (2000).
18. L. Mahadevan and P. Matsudaira, Science 288, 95 (2000).
19. M. Porto, M. Urbakh, and J. Klafter, Phys. Rev. Lett. 84, 6058 (2000).
20. A. Ajdari and J. Prost, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers 315, 1635 (1993);
21. M.O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993);
22. Phys. Rev. Lett.R.D. Astumian and M. Bier, 72, 1766 (1994);
23. Phys. Rev. Lett.J. Prost, J.-F. Chauwin, L. Peliti, and A. Ajdari, 72, 2652 (1994);
24. M.M. Millonas and M.I. Dykman, Phys. Lett. A 185, 65 (1994);
25. P. Jung, J.G. Kissner, and P. Hänggi, Phys. Rev. Lett. 76, 3436 (1996);
26. R.D. Astumian, Science 276, 917 (1997);
27. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997);
28. T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997);
29. N. Thomas and R.A. Thornhill, J. Phys. D 31, 253 (1998);
30. H. Qian, Phys. Rev. Lett. 81, 3063 (1998);
31. P.S. Landa, Phys. Rev. E 58, 1325 (1998);
32. I.M. Sokolov, Europhys. Lett. 44, 278 (1998);
33. I.M. SokolovJ. Phys. A 32, 2541 (1999);
34. I.M. SokolovPhys. Rev. E 60, 4946 (1999);
35. M.E. Fisher and A.B. Kolomeisky, Proc. Natl. Acad. Sci. U.S.A. 96, 6597 (1999);
36. I. Derényi, M. Bier, and R.D. Astumian, Phys. Rev. Lett. 83, 903 (1999);
37. Phys. Rev. Lett.J.L. Mateos, 84, 258 (2000);
38. Phys. Rev. Lett.S. Flach, O. Yevtushenko, and Y. Zolotaryuk, 84, 2358 (2000).
39. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) 370, 446 (1994);
40. L.P. Faucheux, L.S. Bourdieu, P.D. Kaplan, and A.J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995);
41. L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996);
42. Europhys. Lett.H. Linke, W. Sheng, A. Lofgren, H.Q. Xu, P. Omling, and P.E. Lindelof, 44, 343 (1998);
43. Europhys. Lett.H. LinkeW. ShengA. LofgrenH.Q. XuP. OmlingP.E. Lindelof45, 406(E) (1999);
44. C. Mennerat-Robilliard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999);
45. C. Kettner, P. Reimann, P. Hänggi, and F. Müller, Phys. Rev. E 61, 312 (2000);
46. Phys. Rev. EA. Ajdari, 61, R45 (2000).
47. M.P. Curie, J. Phys. (France) III 3, 393 (1894).
48. M. von Smoluchowski, Phys. Z. 13, 1069 (1912).
49. R.P. Feynman, R.B. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, 1963), Vol. 1, Chap. 46.
50. M. Porto, M. Urbakh, and J. Klafter, Phys. Rev. Lett. 85, 491 (2000).
51. It should be noted that the performance of the proposed engine depends on the particular choice of parameters such as particle or track distance, but the discussed behavior is observed over a quite broad range in these parameters. A detailed discussion will be presented elsewhere.
52. P. Ewald, Ann. Phys. (Leipzig) 64, 253 (1921);
53. S.W. de Leeuw, J.W. Perram, and E.R. Smith, Proc. R. Soc. London, Ser. A 373, 27 (1980);
54. M.P. Allen and D.J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, 1987).
55. M. Porto, J. Phys. A 33, 6211 (2000).
56. For an improper choice of parameters, in particular, if the amplitude (Formula presented) is too small, one observes (Formula presented) even for (Formula presented) and (Formula presented)