Abstract
Exact solutions are found for the averaged velocity of an overdamped pendulum driven by a series of square pulses. The formalism developed can be applied to either periodic or random switching as well as cases intermediate between the two. The phenomenon known as phase locking can be shown to exist when periodic switching is used.
Similar content being viewed by others
References
A. Barone and G. Paterno,Physics and Applications of the Josephson Effect (Wiiey, New York, 1982).
G. Grüner, A. Zawadowski, and P. M. Chaikin,Phys. Rev. Lett. 46:511 (1981).
A. J. Viterbi,Principles of Coherent Communications (McGraw-Hill, New York, 1966).
W. Schleich, C. S. Cha, and J. D. Cresser,Phys. Rev. A 29:230 (1984).
B. Shapiro, I. Dayan, M. Gitterman, and G. H. Weiss,Phys. Rev. B 46:8416 (1992).
V. Steinberg, Private communication.
B. Roux and M. Karplus,Biophys. J. 59:961 (1991).
B. Shapiro, I. Dayan, M. Gitterman, and G. H. Weiss,Phys. Rev. B 46:8349 (1992).
L. G. Aslamazov and A. I. Larkin,JETP Lett. 9:150 (1968).
P. Russer,J. Appl. Phys. 43:2008 (1972).
W. L. Smith,Proc. R. Soc. A 232:6 (1955).
M. Ya. Azbel and P. Bak,Phys. Rev. B 30:3722 (1984).
W. Horsthemke and R. Lefever,Noise-Induced Transitions (Springer-Verlag, Berlin, 1984).
B. Chen and J. Dong,Phys. Rev. B 44:10206 (1991).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Weiss, G.H., Gitterman, M. Motion in a periodic potential driven by rectangular pulses. J Stat Phys 70, 93–105 (1993). https://doi.org/10.1007/BF01053956
Issue Date:
DOI: https://doi.org/10.1007/BF01053956