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存在杂质时扭结-反扭结对的热成核:以Remoissenet-Peyrard衬底势为例

Thermal nucleation of kink-antikink pairs in the presence of impurities: the case of a Remoissenet-Peyrard substrate potential.

作者信息

Woulaché Rosalie Laure, Yemélé David, Kofané Timoléon C

机构信息

Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Sep;72(3 Pt 1):031604. doi: 10.1103/PhysRevE.72.031604. Epub 2005 Sep 19.

Abstract

Thermal nucleation of kink-antikink pairs in a nonlinear Klein-Gordon (NKG) model with a Remoissenet-Peyrard (RP) substrate potential in the presence of impurities and coupled to an applied field is analyzed in the limits of moderate temperature and strong damping. Using the Kolmogorov method, the average velocity of particles of the lattice is calculated and its dependence on the intensity of impurities is discussed in connection with the deformability parameter or the shape of the RP substrate potential. Numerical values are carried out by making use of parameters of the hydrogen atom adsorbed in the tungsten and ruthenium substrates. We show that, for large values of the applied field, the presence of impurities in the system makes the nucleation process of kink-antikink pairs more favorable in the high-temperature regime while they contribute to make it less favorable in the low-temperature regime.

摘要

在存在杂质并与外场耦合的情况下,对具有雷莫伊森内 - 佩拉尔(RP)基底势的非线性克莱因 - 戈登(NKG)模型中扭结 - 反扭结对的热成核进行了分析,分析是在中等温度和强阻尼的极限条件下进行的。使用科尔莫戈罗夫方法,计算了晶格粒子的平均速度,并结合可变形性参数或RP基底势的形状讨论了其对杂质强度的依赖性。利用吸附在钨和钌基底上的氢原子的参数进行了数值计算。我们表明,对于较大的外场值,系统中杂质的存在使得扭结 - 反扭结对的成核过程在高温 regime 下更有利,而在低温 regime 下它们则使其变得不那么有利。

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