Publication:
Soliton ratchets out of point-like inhomogeneities

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ISSN: 1434-6028 (print version)
ISSN: 1434-6036 (online version)
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2004-01
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Springer
EDP Sciences
Società Italiana di Fisica
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Abstract
We introduce and study a novel design for a ratchet potential for soliton excitations. The potential is implemented by means of an array of point-like (delta) inhomogeneities in an otherwise homogeneous potential. We use collective coordinates which predict that the effective potential acting on the soliton is periodic but asymmetric and gives rise to the ratchet effect. Numerical simulations fully confirm this prediction; quantitative agreement is reached by an improved version of the theory. Although we specifically show that it is most interesting for building Josephson junction ratchets capable to rectify time-symmetric ac forces, the proposed mechanism is very general and can appear in many contexts, including biological systems.
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Proceedings of: FPU+50: Nonlinear waves fifty years after Fermi-Pasta-Ulam. Rouen, Francia, 21 - 25 de junio de 2005
Keywords
Solitons, Transport processes, Localized modes
Bibliographic citation
The European Physical Journal B, vol. 37, n. 1, jan. 2004. Pp. 79-83