Quantum diffusion in biased washboard potentials: Strong friction limit

Abstract

References (44)

Citing Articles

Download: PDF (342 kB) or Buy this Article (US$25) (Use Article Pack)

L. Machura,^1,2 M. Kostur,¹ P. Talkner,¹ J.

uczka,² and P. Hänggi¹
¹Institute of Physics, University of Augsburg, D-86135 Augsburg, Germany
²Institute of Physics, University of Silesia, 40-007 Katowice, Poland

Received 24 November 2005; published 7 March 2006

Diffusivetransport properties of a quantum Brownian particle moving in atilted spatially periodic potential and strongly interacting with a thermostatare explored. Apart from the average stationary velocity, we foremostinvestigate the diffusive behavior by evaluating the effective diffusion coefficienttogether with the corresponding Peclet number. Corrections due to quantumeffects, such as quantum tunneling and quantum fluctuations, are shownto substantially enhance the effectiveness of diffusive transport if onlythe thermostat temperature resides within an appropriate interval of intermediatevalues.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.031105
DOI:	10.1103/PhysRevE.73.031105
PACS:	05.40.-a; 02.50.Ey; 42.50.Lc; 05.60.Gg 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion 02.50.Ey Stochastic processes 42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps (quantum optics) 05.60.Gg Quantum transport YEAR: 2006
KEYWORDS:	diffusion, friction, Brownian motion, tunnelling, fluctuations, quantum theory

REFERENCES (44)

View in Separate Window/Tab

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.

D. Reguera, J. M. Rubi, and A. Pérez-Madrid, Phys. Rev. E 62, 5313 (2000);
P. Fulde, L. Pietronero, W. R. Schneider, and S. Strässler, Phys. Rev. Lett. 35, 1776 (1975);
G. Grüner, A. Zawadowski, and P. M. Chaikin, Phys. Rev. Lett. 46, 511 (1981).
E. Pollak, J. Bader, B. J. Berne, and P. Talkner, Phys. Rev. Lett. 70, 3299 (1993);
M. Borromeo and F. Marchesoni, Chaos 15, 026110 (2005).
R. D. Astumian and P. Hänggi, Phys. Today 55(11), 33 (2002);
F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997);
B. Lindner and L. Schimansky-Geier, Phys. Rev. Lett. 89, 230602 (2002).
M. Bier, Phys. Rev. Lett. 91, 148104 (2003).
P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J. M. Rubi, and A. Pérez-Madrid, Phys. Rev. Lett. 87, 010602 (2001).
P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J. M. Rubi, and A. Pérez-Madrid, Phys. Rev. E 65, 031104 (2002).
J. uczka, R. Bartussek, and P. Hänggi, Europhys. Lett. 31, 431 (1995);
[Tech. Phys. Lett. 24, 833 (1998)];
E. Heinsalu, T. Ord, and R. Tammelo, Phys. Rev. E 70, 041104 (2004);
D. Dan and A. M. Jayannavar, Phys. Rev. E 66, 041106 (2002).
P. Hänggi, H. Grabert, G. L. Ingold, and U. Weiss, Phys. Rev. Lett. 55, 761 (1985).
J. Ankerhold, P. Pechukas, and H. Grabert, Phys. Rev. Lett. 87, 086802 (2001).
J. Ankerhold, H. Grabert, and P. Pechukas, Chaos 15, 026106 (2005).
P. Hänggi and G. L. Ingold, Chaos 15, 026105 (2005).
L. Machura, M. Kostur, P. Hänggi, P. Talkner, and J. uczka, Phys. Rev. E 70, 031107 (2004).
V. I. Melnikov and A. Sütö, Phys. Rev. B 34, 1514 (1986);

ibid. 35, 4737 (1987)

Phys. Rev. Lett. 79, 10 (1997)

V. Ambegaokar and B. I. Halperin, Phys. Rev. Lett. 22, 1364 (1969);

ibid. 80, 829 (1998)

U. Griff, H. Grabert, P. Hänggi, and P. S. Riseborough, Phys. Rev. B 40, 7295 (1989).
L. Machura, M. Kostur, P. Talkner, J. Luczka, F. Marchesoni, and P. Hanggi, Phys. Rev. E 70, 061105 (2004).
A. N. Cleland, J. M. Martinis, and J. Clarke, Phys. Rev. B 37, 5950 (1988).
E. Goldobin, K. Vogel, O. Crasser, R. Walser, W. P. Schleich, D. Koelle, and R. Kleiner, Phys. Rev. B 72, 054527 (2005).
P. Reimann, M. Grifoni, and P. Hänggi, Phys. Rev. Lett. 79, 10 (1997);