Analytical approach to soliton ratchets in asymmetric potentials.
Phys Rev E Stat Nonlin Soft Matter Phys
; 72(1 Pt 2): 016610, 2005 Jul.
Article
em En
| MEDLINE
| ID: mdl-16090110
ABSTRACT
We use soliton perturbation theory and collective coordinate ansatz to investigate the mechanism of soliton ratchets in a driven and damped asymmetric double sine-Gordon equation. We show that, at the second order of the perturbation scheme, the soliton internal vibrations can couple effectively, in presence of damping, to the motion of the center of mass, giving rise to transport. An analytical expression for the mean velocity of the soliton is derived. The results of our analysis confirm the internal mode mechanism of soliton ratchets proposed in [Phys. Rev. E 65, 025602(R) (2002)].
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Base de dados:
MEDLINE
Idioma:
En
Ano de publicação:
2005
Tipo de documento:
Article