×

Net transport in a periodically driven potential-free system. (English) Zbl 07542633

Summary: Ratchet effect (net transport without any obvious bias) has been obtained in a periodic potential system. In the present work, in contrast, the net transport of particles is obtained numerically in a potential-free system with friction coefficient in the form of a traveling wave and driven by a zero-mean sinusoidal force. The nature of particle trajectories and hence the direction and magnitude of the particle current strongly depend on the ratio (\(r\)) of the frequencies of the friction coefficient and the periodic drive. The effect of the amplitude of the two periodic functions on the net current is also investigated.

MSC:

82-XX Statistical mechanics, structure of matter
Full Text: DOI

References:

[1] Svoboda, K.; Schmidt, C. F.; Schnapp, B. J.; Block, S. M., Nature, 365, 721 (1993); Finer, J. T.; Simmons, R. S.; Spudich, J. A., Nature, 368, 113 (1994)
[2] Lü, Yan; Bao, Jing-Dong, Phys. Lett. A, 380 (2016)
[3] Reimann, P., Phys. Rep., 361, 57 (2002), and references therein · Zbl 1001.82097
[4] Feynman, R. P.; Leighton, R.; Sands, M., The Feynman Lectures on Physics, Vol. 1 (1963), Addison-Wesley Publishing Company Inc., Ch. 46
[5] Magnasco, M. O., Phys. Rev. Lett., 71, 10 (1993), 72, 2656 (1994)
[6] Rousselet, J.; Salome, L.; Ajdari, A.; Prost, J., Nature, 370, 11 (1994)
[7] Prost, J.; Jean-Francois, L.; Peliti, L.; Ajdari, A., Phys. Rev. Lett., 72, 2652 (1994)
[8] Astumian, R. D.; Bier, M., Phys. Rev. Lett., 72, 11 (1994) · Zbl 0973.82507
[9] Büttiker, M., Z. Phys. B, 68, 161 (1987)
[10] Kharkongor, D.; Reenbohn, W. L.; Mahato, M. C., Phys. Rev. E., 94, Article 022148 pp. (2016)
[11] Hanggi, P.; Marchesoni, F., Rev. Modern Phys., 81 (2009)
[12] Luchsinger, R. H., Phys. Rev. E., 62, 1 (2000); Borromeo, M.; Marchesoni, F., Phys. Lett. A, 249 (1998)
[13] Desloge, E. A., Amer. J. Phys., 62, 601 (1994)
[14] This simple transformation was pointed out by the anonymous referee.
[15] Crawford, F. S., Waves Berkeley Physics Course - Vol. 3 (2011), Tata McGraw Hill Education Private Limited: Tata McGraw Hill Education Private Limited New Delhi
[16] Graham, R.; Tel, T., Phys. Rev. A, 31, 1109 (1985)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.