SOLITON MOTION IN A PARAMETRICALLY AC-DRIVEN DAMPED TODA LATTICE
SOLITON MOTION IN A PARAMETRICALLY AC-DRIVEN DAMPED TODA LATTICE
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参数化交流驱动阻尼 TODA 晶格中的孤子运动
DOI：
10.1103/physreve.58.6695
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发表时间：
1998
影响因子：
2.4
通讯作者：
Niels Grønbech
中科院分区：
文献类型：
--
作者：
K. Rasmussen;B. Malomed;A. Bishop;Niels Grønbech
我们证明了交错参数交流驱动项可以支持孤子在有摩擦的户田晶格中稳定的渐进运动，而非交错驱动力则不能。该模型的物理背景是，一个链的非谐耦合粒子吸附在一个有限大小的固体表面上。交流驱动力由表面上激发的驻声波产生。模拟结果表明，随着粒子从其平衡位置移动，运动孤子后面的状态逐渐弛豫回到孤子通过之前的平衡状态。微扰理论预言，当驱动振幅超过一定阈值时，存在交流驱动孤子。阈值的分析预测是在合理的协议，发现数值。两个反向传播的孤子之间的碰撞也进行了模拟，表明碰撞，有效地，完全弹性。{版权} {美国物理学会}
We demonstrate that a staggered parametric ac driving term can support stable progressive motion of a soliton in a Toda lattice with friction, while an unstaggered driving force cannot. A physical context of the model is that of a chain of anharmonically coupled particles adsorbed on a solid surface of a finite size. The ac driving force is generated by a standing acoustic wave excited on the surface. Simulations demonstrate that the state left behind the moving soliton, with the particles shifted from their equilibrium positions, gradually relaxes back to the equilibrium state that existed before the passage of the soliton. The perturbation theory predicts that the ac-driven soliton exists if the amplitude of the drive exceeds a certain threshold. The analytical prediction for the threshold is in reasonable agreement with that found numerically. Collisions between two counterpropagating solitons is also simulated, demonstrating that the collisions are, effectively, fully elastic. {copyright} {ital 1998} {ital The American Physical Society}