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motors. Chaos 15, 026111 (2005)
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force clamp. Nature 400, 184–189 (1999)
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to the very large scales. Pap. Phys. 8, art. 080004 (2016)
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nol, P.: Criticism of Feynman’s analysis of the ratchet as an engine. Am.
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Lett. 43(3), 248–254 (1998)
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194 (1996)
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engines. Phys. Rev. Lett. 83, 903 (1999)
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24. Wang, H., Oster, G.: Ratchets, power strokes, and molecular motors. Appl. Phys. A 75,
315–323 (2002)
25. Machura, L., Kostur, M., Talkner, P., Łuczka, J., Marchesoni, F., Hänggi, P.: Brownian motors:
current fluctuations and rectification efficiency. Phys. Rev. E 70, 061105 (2004)
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75, 179–191 (2002)
27. Freund, J.A., Schimansky-Geier, L.: Diffusion in discrete ratchets. Phys. Rev. E 60(2), 1304
(1999)
28. Berg, H.C.: Random Walks in Biology, expanded edition. Princeton University Press, Princeton
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29. Weiss, G.H.: First passage time problems in chemical physics. In: Prigogine, I. (eds.) Advances
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31. Gerstein, G.L., Mandelbrot, B.: Random walk models for the spike activity of a single neuron.
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32. Bulsara, A.R., Elston, T.C., Doering, C.R., Lowen, S.B., Lindenberg, K.: Cooperafive behavior
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13
8. Kolomeisky, A.B.: Motor proteins and molecular motors: how to operate machines at the
nanoscale. J. Phys.: Condens. Matter 25, 463101 (2013)
9. Linke, H., Downton, M.T., Zuckermann, M.J.: Performance characteristics of Brownian
motors. Chaos 15, 026111 (2005)
10. Visscher, K., Schnitzer, J.M., Block, S.M.: Single kinesin molecules studied with a molecular
force clamp. Nature 400, 184–189 (1999)
11. Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics. AddisonWesley, Reading (1966)
12. von Smoluchowski, M.R.: Experimentell nachweisbare derublichen Thermodynamik widersprechende Molekularphanomene. Physik. Zeitschr. 13, 1069 (1912)
13. Su ´
arez, G.P., Hoyuelos, M., Chialvo, D.R.: Fluctuation-induced transport. From the very small
to the very large scales. Pap. Phys. 8, art. 080004 (2016)
14. Parrondo, J.M.R., Espa ˜
nol, P.: Criticism of Feynman’s analysis of the ratchet as an engine. Am.
J. Phys. 64, 1125 (1996)
15. Magnasco, M.O.: Forced thermal ratchets. Phys. Rev. Lett. 71(10), 1477–1481 (1993)
16. Ajdari, A., Prost, J.: Mouvelllent induit par un potentiel periodique de basse sym ´
etrie:
dieIectrophorese pulsee. C.R. Acad. Sci. Paris, t. 315, Série II, 1635–1639 (1992)
17. Parrondo, J.M.R.: Reversible ratchets as Brownian particles in an adiabatically changing
periodic potential. Phys. Rev. E 57(6), 7297 (1998)
18. Parrondo, J.M.R., Blanco, J.M., Cao, F., Brito, R.: Efficiency of Brownian motors. Europhys.
Lett. 43(3), 248–254 (1998)
19. Zhou, H.-X., Chen, Y.: Chemically driven motility of Brownian particles. Phys. Rev. Lett. 77,
194 (1996)
20. Sekimoto, K.: Kinetic characterization of heat bath and the energetics of thermal ratchet
models. J. Phys. Soc. Jpn. 66, 1234 (1997)
21. Derényi, I., Bier, M., Astumian, R.D.: Generalized efficiency and its application to microscopic
engines. Phys. Rev. Lett. 83, 903 (1999)
22. Suzuki, D., Munakata, T.: Rectification efficiency of a Brownian motor. Phys. Rev. E 68,
021906 (2003)
23. Wang, H., Oster, G.: The Stokes efficiency for molecular motors and its applications. Europhys.
Lett. 57(1), 134–140 (2002)
24. Wang, H., Oster, G.: Ratchets, power strokes, and molecular motors. Appl. Phys. A 75,
315–323 (2002)
25. Machura, L., Kostur, M., Talkner, P., Łuczka, J., Marchesoni, F., Hänggi, P.: Brownian motors:
current fluctuations and rectification efficiency. Phys. Rev. E 70, 061105 (2004)
26. Parrondo, J.M.R., de Cisneros, B.J.: Energetics of Brownian motors: a review. Appl. Phys. A
75, 179–191 (2002)
27. Freund, J.A., Schimansky-Geier, L.: Diffusion in discrete ratchets. Phys. Rev. E 60(2), 1304
(1999)
28. Berg, H.C.: Random Walks in Biology, expanded edition. Princeton University Press, Princeton
(1993)
29. Weiss, G.H.: First passage time problems in chemical physics. In: Prigogine, I. (eds.) Advances
in Chemical Physics, vol. 13, pp. 1–18. Wiley, New York (1967)
30. Chandrasekhar, S.: Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15, 1–89
(1943)
31. Gerstein, G.L., Mandelbrot, B.: Random walk models for the spike activity of a single neuron.
Biophys. J. 4, 41–68 (1964)
32. Bulsara, A.R., Elston, T.C., Doering, C.R., Lowen, S.B., Lindenberg, K.: Cooperafive behavior
in periodically driven noisy integrate-fire models of neuronal dynamics. Phys. Rev. E 53, 3958–
3969 (1996)
33. Burkitt, A.N.: A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input.
Biol. Cybern. 95, 1–19 (2006)
34. Howard, J.: Mechanics of Motor Proteins and the Cytoskeleton. Sinauer Associates, Inc.
Publishers, Sunderland (2001)