Remember Me
Or use your Academic/Social account:


Or use your Academic/Social account:


You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.


Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message


Verify Password:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Sokolov, I. M. (2000)
Languages: English
Types: Preprint
Subjects: Condensed Matter - Statistical Mechanics

Classified by OpenAIRE into

arxiv: Quantitative Biology::Subcellular Processes, Physics::Biological Physics
We discuss a problem of optimization of the energetic efficiency of a simple rocked ratchet. We concentrate on a low-temperature case in which the particle's motion in a ratchet potential is deterministic. We show that the energetic efficiency of a ratchet working adiabatically is bounded from above by a value depending on the form of ratchet potential. The ratchets with strongly asymmetric potentials can achieve ideal efficiency of unity without approaching reversibility. On the other hand we show that for any form of the ratchet potential a set of time-protocols of the outer force exist under which the operation is reversible and the ideal value of efficiency is also achieved. The mode of operation of the ratchet is still quasistatic but not adiabatic. The high values of efficiency can be preserved even under elevated temperatures.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] M.O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993)
    • [2] M.O. Magnasco, Phys. Rev. Lett 72, 2656 (1994)
    • [3] M.Bier and R.D.Astumian, Biochemistry and Bioenergetics 39, 67 (1996)
    • [4] R. Bartussek, P. Reimann, and P. H¨anggi, Phys. Rev. Lett. 76, 1166-1169 (1996)
    • [5] K.Sekimoto, J.Phys.Soc.Japan 66, 1234 (1997)
    • [6] I.M. Sokolov and A. Blumen, J.Phys.A: Math and Gen. 30 3021-3027 (1997)
    • [7] J. Kula, T. Czernik and J. Luczka, Phys. Rev. Lett., 80, 1377 (1998)
    • [8] I.M. Sokolov and A. Blumen, Chem. Phys. 235, 39 (1998)
    • [9] H. Kamegawa, T. Hondou and F. Takagi, Phys. Rev. Lett. 80, 5251 (1998)
    • [10] H. Qian, Phys. Rev. Lett. 81, 3063 (1998)
    • [11] Y. Aghababaie, G.I. Menon and M. Plischke, Phys. Rev. E 59, 2578 (1999)
    • [12] F. Takagi and T. Hondou, Phys. Rev. E 60, 4954 (1999)
    • [13] A. Parmeggiani, F. Ju¨licher, A. Ajdari and J. Prost, Phys. Rev. E 60, 2127 (1999)
    • [14] C. Jarzynski and O.Mazonka, Phys. Rev. E 59, 6448 (1999)
    • [15] I.M.Sokolov, Phys. Rev. E 60, 4946 (1999)
    • [16] M.O. Magnasco and G. Stolovitzky, J. Stat. Phys. 93, 615 (1998)
    • [17] I. Der´enyi and R.D. Astumian, Phys. Rev. E 59, R6219 (1999)
    • [18] M. Porto, M. Urbakh and J. Klafter, Phys. Rev. Lett. 85, 491 (2000)
    • [19] T.E. Dialynas, K. Lindenberg and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997)
    • [20] A. Sarmiento and H. Larralde, Physical Review E 59, 4878 (1999)
    • [21] I.M.Sokolov, preprint cond-mat/0002251
    • [22] R.H. Thurston, A History of the Growth of the Steam Engine, D. Appleton and Co. N.Y., 1878 (The book is also available in the internet at www.history.rochester.edu/steam/)
  • No related research data.
  • No similar publications.

Share - Bookmark

Funded by projects

Cite this article

Collected from