Quintero Niurka R, Sánchez-Rey Bernardo, Salerno Mario
Departamento de Física Aplicada I, E. U. P., Universidad de Sevilla, Virgen de Africa 7, 41011 Sevilla, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):016610. doi: 10.1103/PhysRevE.72.016610. Epub 2005 Jul 13.
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)].
我们运用孤子微扰理论和集体坐标假设，来研究受驱动和阻尼的非对称双正弦-戈登方程中孤子棘轮的机制。我们表明，在微扰方案的二阶近似下，在存在阻尼的情况下，孤子的内部振动能够有效地与质心运动耦合，从而产生输运。推导了孤子平均速度的解析表达式。我们的分析结果证实了[《物理评论E》65, 025602(R) (2002)]中提出的孤子棘轮的内部模式机制。
