标题： 非对称势中的孤子棘轮效应的分析方法 显示英文标题

标题： Analytical approach to soliton ratchets in asymmetric potentials

摘要： 我们使用孤子微扰理论和集体坐标假设来研究驱动和阻尼的非对称双正弦-高斯方程中的孤子棘轮机制。 我们表明，在微扰方案的二阶情况下，孤子内部振动在存在阻尼的情况下可以耦合{\it 有效}，从而引起质心的运动，产生输运。 推导出了孤子平均速度的解析表达式。 我们分析的结果证实了[Phys. Rev. E{\bf 65}025602(R) (2002)]中提出的孤子棘轮的内部模态机制。 显示英文摘要

摘要： 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)].