Soliton ratchets out of point-like inhomogeneities
Morales-Molina, Luis ; Mertens, Franz G. ; Sanchez, Angel
arXiv, 0306734 / Harvested from arXiv
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.
Publié le : 2003-06-30
Classification:  Condensed Matter - Mesoscale and Nanoscale Physics,  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Nonlinear Sciences - Pattern Formation and Solitons
@article{0306734,
     author = {Morales-Molina, Luis and Mertens, Franz G. and Sanchez, Angel},
     title = {Soliton ratchets out of point-like inhomogeneities},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306734}
}
Morales-Molina, Luis; Mertens, Franz G.; Sanchez, Angel. Soliton ratchets out of point-like inhomogeneities. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306734/