氢键链中孤子对与杂质的相互作用

INTERACTION BETWEEN THE SOLITON PAIR AND THE IMPURITY IN HYDROGEN BONDED CHAIN

讨论了杂质对于氢键链中扭结孤子对的运动的影响．在排斥型杂质情况下，对于入射扭结对存在一个临界速度ｖｃｒ．如果入射扭结对的速度ｖ等于ｖｃｒ，则它在相空间中运动轨迹就有分岔．对于ｖ＜ｖｃｒ情况，将存在扭结对的运动的禁止区与容许区，它们彼此隔离．在外力与阻尼存在情况下，扭结对被钉扎的位置不仅依赖于邻近杂质分布，而且与外力有关．

The influence of impurities on the motion of a kink soliton pair is disussed. In the case of repulsion type impurity, there is a critical velocity v cr for the incident kink pair. If the velocity of the incident kink pair v equals to v cr , its trajectory of motion in phase space will branch. For v<v cr ,forbidden regions and allowable regions for its motion will exist and separate each other. In the presence of external force and damping, the pinned position of the kink pair is not only dependent on the distribution of neighboring impurities but also relates to the external force. The case pinned by the impurity is similar to that of the Sine Gordon soliton in Josephson transmission line.