Publication: Optimization of solitons ratchets in inhomogeneous sine-Gordon systems
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ISSN: 1539-3755 (print version)
ISSN: 1550-2376 (online version)
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2006-12
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American Physical Society
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Abstract
Unidirectional motion of solitons can take place, although the applied force has zero average in time, when
the spatial symmetry is broken by introducing a potential V x , which consists of periodically repeated cells
with each cell containing an asymmetric array of strongly localized inhomogeneities at positions xi. A collective
coordinate approach shows that the positions, heights, and widths of the inhomogeneities in that order are
the crucial parameters so as to obtain an optimal effective potential Uopt that yields a maximal average soliton
velocity. Uopt essentially exhibits two features: double peaks consisting of a positive and a negative peak, and
long flat regions between the double peaks. Such a potential can be obtained by choosing inhomogeneities with
opposite signs e.g., microresistors and microshorts in the case of long Josephson junctions that are positioned
close to each other, while the distance between each peak pair is rather large. These results of the collective
variable theory are confirmed by full simulations for the inhomogeneous sine-Gordon system.
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Bibliographic citation
Physical Review E, vol. 74, n. 6, dec. 2006. Pp. 1-8