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arXiv 1004.4654cond-mat.mtrl-sci
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有限温度下缺陷晶体的结构:拟谐晶格动力学方法

Structure of Defective Crystals at Finite Temperatures: A Quasi-Harmonic Lattice Dynamics Approach

Arash Yavari, Arzhang Angoshtari

摘要:

本文将晶格动力学的经典方法推广到具有部分对称性的缺陷晶体。我们从一个名义缺陷位形开始,首先静态松弛它。在具有静力平衡构型的情况下,我们使用准谐晶格动力学方法来近似自由能。最后,通过最小化近似亥姆霍兹自由能得到有限温度下的缺陷结构。对于较高的温度,我们采用较低温度下的松弛构型作为参考构型。这种方法可以用来半解析地研究缺陷的结构,在低但非零的温度,分子动力学不能使用。作为一个例子,我们得到了在一个相互作用的偶极子的二维晶格中的两个180^o畴壁的有限温度结构。我们动态地放松的位置和偏振矢量。特别是,我们表明,增加温度的磁畴壁厚度增加。

英文摘要:

In this paper we extend the classical method of lattice dynamics to defective crystals with partial symmetries. We start by a nominal defect configuration and first relax it statically. Having the static equilibrium configuration, we use a quasiharmonic lattice dynamics approach to approximate the free energy. Finally, the defect structure at a finite temperature is obtained by minimizing the approximate Helmholtz free energy. For higher temperatures we take the relaxed configuration at a lower temperature as the reference configuration. This method can be used to semi-analytically study the structure of defects at low but non-zero temperatures, where molecular dynamics cannot be used. As an example, we obtain the finite temperature structure of two 180^o domain walls in a 2-D lattice of interacting dipoles. We dynamically relax both the position and polarization vectors. In particular, we show that increasing temperature the domain wall thicknesses increase.

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。

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