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/