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CaTiO3 低温弹性异常:动力学特征。

Low-temperature elastic anomalies in CaTiO3: dynamical characterization.

机构信息

Grupo de Simulação Computacional, Departamento de Física, Universidade Federal de São Carlos, São Carlos-SP, Brazil.

出版信息

J Phys Condens Matter. 2012 Nov 28;24(47):475401. doi: 10.1088/0953-8984/24/47/475401. Epub 2012 Oct 23.

Abstract

Pulse-echo ultrasonic measurements of elastic coefficients of CaTiO(3) show anomalous behavior around 200 K, with a notable rise in the attenuation coefficient. Molecular dynamics simulation is used to simulate the elastic response of a mono-domain (MDm) and a poly-domain (PDm) configuration of CaTiO(3) using the Vashishta-Raman interatomic potential. The PDm is obtained by cooling the melt from 3600 to 300 K at a rate of 0.5 K ps(-1), so that it recrystallizes to the PDm orthorhombic configuration. The elastic behavior is simulated in the temperature range from 300 to 20 K. In the MDm, it is observed that the bulk modulus varies linearly with temperature, while in the PDm an anomalous hardening is seen around 210 K. The bulk modulus of the PDm fluctuates strongly and is lower than that of the MDm. Neither the pair correlation function nor the Ti-Ti-O bonding angle indicate a true structural phase transition in this range of temperatures. Given the absence of any apparent change in the structure, a possible explanation for this phenomenon is the emergence of a certain class of dynamical instability associated with domain wall motion. Curiously, the pressure fluctuations in both the MDm and PDm configurations follow a power law distribution f ~ P(-α), with the exponent independent of applied strain and temperature. Time series for pressure are used to analyze the dynamics by time-delay reconstruction techniques. The calculus of embedding and correlation dimension indicates that in the polycrystalline configuration, low-dimension dynamics (<26) appears, which tend to disappear at higher temperatures.

摘要

脉冲回波超声测量法对 CaTiO(3) 弹性系数的研究表明,在 200 K 左右存在反常行为,衰减系数明显上升。本文采用 Vashishta-Raman 原子间势对单畴 (MDm) 和多畴 (PDm) 钙钛矿结构的弹性响应进行分子动力学模拟。PDm 是通过将熔体从 3600 K 以 0.5 K ps(-1)的冷却速率冷却到 300 K 得到的,从而使其重新结晶为 PDm 正交结构。在 300 到 20 K 的温度范围内模拟了弹性行为。在 MDm 中,观察到体弹性模量随温度呈线性变化,而在 PDm 中,在 210 K 左右出现反常硬化。PDm 的体弹性模量波动强烈,低于 MDm。在这个温度范围内,对关联函数和 Ti-Ti-O 键角的分析都没有表明存在真正的结构相变。鉴于结构没有明显变化,这种现象的一种可能解释是与畴壁运动相关的某种类动力学不稳定性的出现。奇怪的是,MDm 和 PDm 两种构型的压力波动都遵循幂律分布 f~P(-α),指数与施加的应变和温度无关。利用压力时间序列,通过时滞重构技术对动力学进行分析。嵌入和关联维数的计算表明,在多晶构型中出现了低维动力学(<26),而在较高温度下这些动力学趋于消失。

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