Zamora-Sillero Elías, Quintero Niurka R, Mertens Franz G
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. 2006 Oct;74(4 Pt 2):046607. doi: 10.1103/PhysRevE.74.046607. Epub 2006 Oct 13.
We study in detail the damped sine-Gordon equation, driven by two ac forces (one is added as a parametric perturbation and the other one in an additive way), as an example of soliton ratchets. By means of a collective coordinate approach we derive an analytical expression for the average velocity of the soliton, which allows us to show that this mechanism of transport requires certain relationships both between the frequencies and between the initial phases of the two ac forces. The control of the velocity by the damping coefficient and parameters of the ac forces is also presented and discussed. All these results are subsequently checked by means of simulations for the driven and damped sine-Gordon equation that we have studied.
作为孤子棘轮的一个例子，我们详细研究了由两个交流力驱动的阻尼正弦-戈登方程（一个作为参数微扰添加，另一个以相加的方式添加）。通过集体坐标方法，我们推导出了孤子平均速度的解析表达式，这使我们能够表明这种输运机制要求两个交流力的频率之间以及初始相位之间存在特定的关系。我们还给出并讨论了阻尼系数和交流力参数对速度的控制。随后，我们通过对所研究的受驱和阻尼正弦-戈登方程进行模拟，对所有这些结果进行了检验。
