Abstract
We study the evolution of a delta-kicked Fokker-Planck equation which is a certain limiting case of a driven Brownian rotor with large friction. The time evolution of the rotor is given by a Floquet map in which the effects of diffusion and of the kick are decoupled. For the case where absorbing boundaries are introduced, we show the mechanism causing an abrupt drop in the average survival time as the kick strength is increased.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. E. Reichl, Zhong-Ying Chen, and M. Millonas,Phys. Rev. Lett. 63:2013 (1989).
L. E. Reichl, Zhong-Ying Chen, and M. Millonas,Phys. Rev. A 41:1874 (1990).
Zhong-Ying Chen,Phys. Rev. A 42:5837 (1990).
H. A. Kramers,Physica 7:284 (1940).
H. C. Brinkman,Physica 22:29 (1956).
B. Chirikov,Phys. Rep. 52:263 (1979).
L. E. Reichl,The Transition to Chaos in Conservatuve Classical Systems: Quantum Manifestations (Springer-Verlag, New York, 1992).
F. M. Izrailev and D. Shepelyanskii,Sov. Phys. Doklady 24:996 (1979).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Reichl, L.E. A delta-kicked Brownian rotor. J Stat Phys 70, 213–228 (1993). https://doi.org/10.1007/BF01053964
Issue Date:
DOI: https://doi.org/10.1007/BF01053964