一维晶格模型中的位错偶极子
A dislocation-dipole in one dimensional lattice model
AI总结：
本研究在一维晶格模型中构造了位错偶极子平衡族，发现连接路径呈现派尔斯势垒，并通过能量图景解释准静态分离过程，为分段二次势提供了闭式解。
摘要：
在一维晶格模型中，构造了一族对应于位错偶极子的平衡态，其中两个相反符号的位错之间的间距可变。找到了连接该族中某些成员的一条合适路径，该路径呈现出熟悉的派尔斯势垒。给出了能量变化图景，以突出这些平衡态之间的某些顺序转变，这可以从密切相关的弗伦克尔-康托罗娃模型的角度解释为准静态分离的相反符号位错对。针对分段二次势的情况提供了闭式表达式，其中包含对中间旋节线区域效应的分析。
英文摘要：
A family of equilibria corresponding to dislocation-dipole, with variable separation between the two dislocations of opposite sign, is constructed in a one dimensional lattice model. A suitable path connecting certain members of this family is found which exhibits the familiar Peierls relief. A landscape for the variation of energy has been presented to highlight certain sequential transition between these equilibria that allows an interpretation in terms of quasi-statically separating pair of dislocations of opposite sign from the viewpoint of closely related Frenkel-Kontorova model. Closed form expressions are provided for the case of a piecewise-quadratic potential wherein an analysis of the effect of an intermediate spinodal region is included.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
