Analytical approach to soliton ratchets in asymmetric potentials

Details Analytical approach to soliton ratchets in asymmetric potentials Analytical approach to soliton ratchets in asymmetric potentials

2004-05-11

arxiv.org/abs/nlin/0405023v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 figures. Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.72.016610

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 {\it 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 {\bf 65} 025602(R) (2002)].

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