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Motion in a periodic potential driven by rectangular pulses

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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.

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References

  1. A. Barone and G. Paterno,Physics and Applications of the Josephson Effect (Wiiey, New York, 1982).

    Google Scholar 

  2. G. Grüner, A. Zawadowski, and P. M. Chaikin,Phys. Rev. Lett. 46:511 (1981).

    Google Scholar 

  3. A. J. Viterbi,Principles of Coherent Communications (McGraw-Hill, New York, 1966).

    Google Scholar 

  4. W. Schleich, C. S. Cha, and J. D. Cresser,Phys. Rev. A 29:230 (1984).

    Google Scholar 

  5. B. Shapiro, I. Dayan, M. Gitterman, and G. H. Weiss,Phys. Rev. B 46:8416 (1992).

    Google Scholar 

  6. V. Steinberg, Private communication.

  7. B. Roux and M. Karplus,Biophys. J. 59:961 (1991).

    Google Scholar 

  8. B. Shapiro, I. Dayan, M. Gitterman, and G. H. Weiss,Phys. Rev. B 46:8349 (1992).

    Google Scholar 

  9. L. G. Aslamazov and A. I. Larkin,JETP Lett. 9:150 (1968).

    Google Scholar 

  10. P. Russer,J. Appl. Phys. 43:2008 (1972).

    Google Scholar 

  11. W. L. Smith,Proc. R. Soc. A 232:6 (1955).

    Google Scholar 

  12. M. Ya. Azbel and P. Bak,Phys. Rev. B 30:3722 (1984).

    Google Scholar 

  13. W. Horsthemke and R. Lefever,Noise-Induced Transitions (Springer-Verlag, Berlin, 1984).

    Google Scholar 

  14. B. Chen and J. Dong,Phys. Rev. B 44:10206 (1991).

    Google Scholar 

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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

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