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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:cond-mat/0306734 (cond-mat)
[Submitted on 30 Jun 2003 (v1), last revised 8 Sep 2003 (this version, v2)]

Title:Soliton ratchets out of point-like inhomogeneities

Authors:Luis Morales-Molina, Franz G. Mertens, Angel Sanchez
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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 develop a collective coordinate theory that predicts 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.
Comments: Contains a simpler collective coordinate theory leading to better agreement with the simulations
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:cond-mat/0306734 [cond-mat.mes-hall]
  (or arXiv:cond-mat/0306734v2 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/0306734
Related DOI: https://doi.org/10.1140/epjb/e2004-00031-3

Submission history

From: Angel Sanchez [view email]
[v1] Mon, 30 Jun 2003 11:09:22 UTC (29 KB)
[v2] Mon, 8 Sep 2003 10:54:46 UTC (31 KB)
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