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Phys. Rev. Lett. 61, 2380–2383 (1988)

Simple Model of Collective Transport with Phase Slippage

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S. H. Strogatz*, C. M. Marcus, and R. M. Westervelt
Division of Applied Sciences and Department of Physics, Harvard University, Cambridge, Massachusetts 02138

R. E. Mirollo
Department of Mathematics, Brown University, Providence, Rhode Island 02912

Received 29 April 1988; published in the issue dated 14 November 1988

We present a mean-field analysis of a many-body dynamical system which models charge-density-wave transport in the presence of random pinning impurities. Phase slip between charge-density-wave domains is modeled by a coupling term that is periodic in the phase differences. When driven by an external field, the system exhibits a first-order depinning transition, hysteresis, and switching between pinned and sliding states, and a delayed onset of sliding near threshold.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.2380
DOI:
10.1103/PhysRevLett.61.2380
PACS:
71.45.Lr, 03.20.+i, 05.45.+b, 72.15.Nj

*Also at Department of Mathematics, Boston University, Boston, MA 02215.