Path integral approach to Brownian motion driven with an ac force

The Journal of Chemical Physics
L Y Chen, Patrick L Nash

Abstract

Brownian motion in a periodic potential driven by an ac (oscillatory) force is investigated for the full range of damping constant from the overdamped limit to the underdamped limit. The path (functional) integral approach is advanced to produce formulas for the probability distribution function and for the current of the Brownian particle in response to an ac driving force. The negative friction Langevin dynamics technique is employed to evaluate the dc current for various parameters without invoking the overdamped or the underdamped approximation. The dc current is found to have nonlinear dependence upon the damping constant, the potential parameter, and the ac force magnitude and frequency.

References

Oct 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R FerrandoG E Tommei
Sep 9, 1996·Physical Review Letters·I ZapataP Hänggi
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R FerrandoG E Tommei
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M BierR D Astumian
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jan Iwaniszewski
Jul 23, 2004·The Journal of Chemical Physics·L Y Chen, Patrick L Nash

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Citations

Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T IkonenT Ala-Nissila

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