Khomeriki Ramaz
Department of Physics and Astronomy, The University of Oklahoma, 440 West Brooks, Norman, Oklahoma 73019, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb;65(2 Pt 2):026605. doi: 10.1103/PhysRevE.65.026605. Epub 2002 Jan 18.
The collision process between a breather and moving kink soliton is investigated both analytically and numerically in Fermi-Pasta-Ulam (FPU) chains. As it is shown by both analytical and numerical consideration low amplitude breathers and soft kinks retain their shapes after interaction. Low amplitude breather only changes the location after collision and remains static. As the numerical simulations show, the shift of its position is proportional to the stiffness of the kink soliton, what is in accordance with the analytical predictions made in this paper. The numerical experiments are also carried out for large amplitude breathers and some interesting effects are observed: The odd parity large amplitude breather does not change position when colliding with a widely separated soft kink-antikink pair, while in the case of a closely placed kink-antikink pair the breather transforms into the moving one. Therefore it is suggested that the "harmless" objects similar to the kink solitons in FPU chains could be used in order to displace or move the strongly localized structures in realistic physical systems. In particular, the analogies with quasi-one-dimensional easy-plane-type spin structures are discussed.
在费米-帕斯塔-乌拉姆(FPU)链中,对一个呼吸子与移动扭结孤子之间的碰撞过程进行了分析和数值研究。分析和数值研究均表明,低幅呼吸子和软扭结在相互作用后保持其形状。低幅呼吸子在碰撞后仅改变位置并保持静止。数值模拟显示,其位置的偏移与扭结孤子的刚度成正比,这与本文的分析预测一致。还对大幅呼吸子进行了数值实验,并观察到一些有趣的效应:奇宇称大幅呼吸子与相距很远的软扭结-反扭结对碰撞时位置不变,而在扭结-反扭结对靠得很近的情况下,呼吸子会转变为移动的呼吸子。因此,有人建议,可以利用FPU链中与扭结孤子类似的“无害”物体来移动现实物理系统中强局部化的结构。特别地,还讨论了与准一维易平面型自旋结构的类比。