Abstract
Transport of overdamped Brownian particles in deformable potentials is investigated in the presence of asymmetrically unbiased fluctuations. It is found that the deformation of the potential can strongly affect the directed transport. For small noise strength, the current is not always monotonic function of deformable parameter. For large noise strength, there exists a value of deformable parameter at which the current takes its maximum. Therefore, it is possible to obtain the optimal transport by changing the deformation of the potential.
Similar content being viewed by others
References
J. Maddox, Nature 368, 287 (1994)
R.D. Astumian, I. Derenyi, Eur. Biophys. J. 27, 474 (1998)
N. Thomas, R.A. Thornhill, J. Phys. D 31, 253 (1998)
C.R. Doering, B. Ermentrout, G. Oster, Biophys. J. 69, 2256 (1995)
J. Krim, D.H. Solina, R. Chiarello, Phys. Rev. Lett. 66, 181 (1991)
J.B. Sokoloff, J. Krim, A. Widom, Phys. Rev. B 48, 9134 (1993)
L. Daikhin, M. Urbakh, Phys. Rev. E 49, 1424 (1994)
C. Daly, J. Krim, Phys. Rev. Lett. 76, 803 (1996)
M.R. Sorensen, K.W. Jacobsen, P. Stoltze, Phys. Rev. B 53, 2101 (1996)
I. Derenyi, C. Lee, A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998)
F. Marchesoni, Phys. Rev. Lett. 73, 2394 (1994)
I. Zapata, R. Bartussek, F. Sols, P. Hanggi, Phys. Rev. Lett. 77, 2292 (1996)
L.P. Faucheux, L.S. Bourdieu, P.D. Kaplan, A.J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995)
C. Mennerat-Robilliard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, G. Grynberg, Phys. Rev. Lett. 82, 851 (1999)
L. Gorre-Talini, J.P. Spatz, P. Silberzan, Chaos 8, 650 (1998)
I. Derenyi, R.D. Astumian, Phys. Rev. E 58, 7781 (1998)
D. Ertas, Phys. Rev. Lett. 80, 1548 (1998)
T.A.J. Duke, R.H. Austin, Phys. Rev. Lett. 80, 1552 (1998)
P. Hanggi, F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009)
M.O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993)
P. Hanggi, R. Bartussek, Nonlinear Physics of Complex System, Current Status and Future Trends (Springer, Berlin, 1996), Vol. 476, p. 294
P. Reimann, Phys. Rep. 290, 149 (1997)
J.D. Bao, Y.Z. Zhuo, Phys. Lett. A 239, 228 (1998)
B.Q. Ai, L.Q. Wang, L.G. Liu, Chaos Solitons Fractals 34, 1265 (2007)
P. Reimann, R. Bartussek, R. Haussler, P. Hanggi, Phys. Lett. A 215, 26 (1996)
C.R. Doering, W. Horsthemke, J. Riordan, Phys. Rev. Lett. 72, 2984 (1994)
S. Denisov, P. Hanggi, J.L. Mateos, Am. J. Phys. 77, 602 (2009)
J. Tekic, B. Hu, Phys. Rev. E 81, 036604 (2010)
M. Remoissenet, M. Peyrard, Phys. Rev. B 29, 3153 (1984)
G. Costantini, F. Marchesoni, Phys. Rev. Lett. 87, 114102 (2001)
G.W. Ford, R.F. O’Connell, Phys. Lett. A 215, 245 (1996)
D.R. Chialvo, M.M. Millonas, Phys. Lett. A 209, 26 (1995)
H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1984)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Huang, X.Q., Deng, P., Xiong, J.W. et al. Directed transport in deformable ratchets. Eur. Phys. J. B 85, 162 (2012). https://doi.org/10.1140/epjb/e2012-20921-9
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2012-20921-9