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Phys. Rev. B 56, 87–90 (1997)

Mode locking in discrete soliton dynamics under ac forces

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P. J. Martínez
Departamento de Física Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain
Instituto de Ciencia de Materiales de Aragón, C.S.I.C.-Universidad de Zaragoza, 50009 Zaragoza, Spain

F. Falo, J. J. Mazo, and L. M. Floría
Departamento de Física de la Materia Condensada, Universidad de Zaragoza, 50009 Zaragoza, Spain
Instituto de Ciencia de Materiales de Aragón, C.S.I.C.-Universidad de Zaragoza, 50009 Zaragoza, Spain

A. Sánchez
Grupo Interdisciplinar de Sistemas Complicados, Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés, Spain

Received 10 March 1997; published in the issue dated 1 July 1997

We present here analytical arguments and numerical evidence for the existence of net directional motion of highly discrete sine-Gordon kinks under ac forces of zero average. We have also characterized the depinning of the oscillating kink under those circumstances, and analyzed the instability mechanisms of the phase-locked running solutions. Possible experimental relevance of this phenomenon in circular arrays of Josephson junctions is discussed.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.56.87
DOI:
10.1103/PhysRevB.56.87
PACS:
74.50.+r, 05.45.+b