RT Journal Article
T1 Soliton ratchets in homogeneous nonlinear Klein-Gordon systems
A1 Morales-Molina, Luis
A1 Quintero, Niurka R.
A1 Sánchez, Angel
A1 Mertens, Franz G.
AB We study in detail the ratchetlike dynamics of topological solitons in homogeneous nonlinearKlein-Gordon systems driven by a biharmonic force. By using a collective coordinate approachwith two degrees of freedom, namely the center of the soliton, X t , and its width, l t , we show,first, that energy is inhomogeneously pumped into the system, generating as result a directedmotion; and, second, that the breaking of the time shift symmetry gives rise to a resonance mechanismthat takes place whenever the width l t  oscillates with at least one frequency of the externalac force. In addition, we show that for the appearance of soliton ratchets, it is also necessary tobreak the time-reversal symmetry. We analyze in detail the effects of dissipation in the system,calculating the average velocity of the soliton as a function of the ac force and the damping.We findcurrent reversal phenomena depending on the parameter choice and discuss the important roleplayed by the phases of the ac force. Our analytical calculations are confirmed by numericalsimulations of the full partial differential equations of the sine-Gordon and  4 systems, which areseen to exhibit the same qualitative behavior. Our results show features similar to those obtained inrecent experimental work on dissipation induced symmetry breaking.
PB American Institute of Physics
SN 1054-1500 (print version)
SN 1089-7682 (online version)
YR 2006
FD 2006-03
LK https://hdl.handle.net/10016/15154
UL https://hdl.handle.net/10016/15154
LA eng
NO This work has been supported by the Ministerio de Educación y Ciencia (MEC, Spain) and DAAD (Germany) through “Acciones Integradas Hispano-Alemanas” HA2004- 0034–D/04/39957, by MEC Grants Nos. FIS2005-973 (N.R.Q.), BFM2003-07749-C05-01, FIS2004-01001, and NAN2004-09087-C03-03 (A.S.), and by the Junta de Andalucía under the Project No. FQM-0207.
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RD 1 sept. 2024