CI相变及其混沌态

对简化的一维固体模型基础上的CI相变讨论了变量分别取连续值和分离值的Sine-Gordon方程的基态。在连续体近似下得到孤子介,并证明这时孤子是不定位的,因此不会有亚稳态出现。在分离的Sine-Gordon方程转换成二维标准映像(Standard-map)后用Smale horseshoe方法指出在一定条件下存在混沌态。这种混沌态就是不可自由移动的孤子的随机分布。

CI TRANSITION AND IT'S CHAOTIC STATES

For the CI transition in a simplified one dimensional solid the ground state of Sine-Gordon equaton, in both cases of continuous and discrete variable, has been studied.To the Sine-Gordon equation of continuous vari -able there is a soliton type solution and it has been proved that these solitons are unpinned so no metastable phase will appear. But to the discrete model correspondent equation can be transform to the two dimensional Stan -dard Map and by using of Smale Horseshoe method it has been pointed that under some conditions there are chaotic states, these chaotic states correspond to the random distributions of pinned solitons.