一维Frenkel-Kontorova(FK)模型原子链的相变研究

Phase transition of atomic chain in the one-dimensional Frenkel-Kontorova model

文章基于一维Frenkel-Kontorova模型,研究了边界原子的初始速度对原子链运动状态的影响,数值模拟结果表明:当v<v1时,原子处于"振荡区",当v1<v<v2时,原子处于"混沌区",当v>v2时,原子处于"均匀区".同时我们发现临界速度v1和v2随原子数目和垫底势高度的变化而变化.

The effect of the initial velocity of boundary atom on the motion of an atomic chain is studied by the one-dimensional Frenkel-Kontorova model.The obatined results show that the three phases could be observed in our simulation,these being harmonic phase when vv1,choatic phase when v1vv2 and uniformity phase when vv2.It is aslo shown that the two critical velocites（v1,v2） are strongly influenced by the number of atoms and the depth of the substrate potential.