PMID: 15244968Jul 13, 2004Paper

Soliton ratchets induced by excitation of internal modes

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C R Willis, M Farzaneh

Abstract

Recently Phys. Rev. Lett. 88, 184101 (2002)]] used a symmetry analysis to predict the appearance of directed energy current in homogeneously spatially extended systems coupled to a heat bath in the presence of an external ac field E (t). Their symmetry analysis allowed them to make the right choice of E (t) so as to obtain symmetry breaking which causes directed energy transport for systems with a nonzero topological charge. Their numerical simulations verified the existence of the directed energy current. They argued that the origin of their strong rectification in the underdamped limit is due to the excitation of internal modes and their interaction with the translational kink motion. The internal mode mechanism as a cause of current rectification was also proposed by Salerno and Zolotaryuk [Phys. Rev. E. 65, 056603 (2002)]]. We use a rigorous collective variable for nonlinear Klein-Gordon equations to prove that the rectification of the current is due to the excitation of an internal mode Gamma (t), which describes the oscillation of the slope of the kink, and due to a dressing of the bare kink by the ac driver. The internal mode Gamma (t) is excited by its interaction with the center of mass of the kink, X (t), which is acc...Continue Reading

References

Aug 1, 1990·Physical Review. B, Condensed Matter·R Boesch, C R Willis
Sep 16, 1996·Physical Review Letters·F Marchesoni
Oct 6, 2000·Physical Review Letters·S FlachY Zolotaryuk
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mario Salerno, Niurka R Quintero
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G CostantiniM Borromeo
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mario Salerno, Yaroslav Zolotaryuk

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Citations

Jul 11, 2006·Chaos·A V GorbachS Flach
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Niurka R QuinteroJesús Casado-Pascual
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Niurka R QuinteroMario Salerno
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V StehrA Bishop
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P MüllerA R Bishop
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C R Willis, M Farzaneh
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yaroslav Zolotaryuk, Mario Salerno
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J CuevasM Salerno

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