arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1702.08189cond-mat.stat-mechcond-mat.dis-nn
收藏

液态和非晶态铝中的三粒子关联

Three-Particle Correlations in Liquid and Amorphous Aluminium

Bulat N. Galimzyanov, Anatolii V. Mokshin

摘要:

根据液态和非晶态铝中原子动力学的模拟数据,对三粒子关联进行了分析。引入三粒子关联函数来表征三个粒子的相对位置。通过对和三粒子关联函数的计算,发现了三重态的各种构型。结果发现,在温度为$1000\,$ K,$1500\,$ K和$2000\,$ K的液态铝的情况下,三粒子相关性在空间尺度内更明显,与第二配位球的大小相当。在温度为$50\,$ K、$100\,$ K和$150\,$ K的无定形铝的情况下,三个粒子的相互排列中的这些相关性表现为空间尺度,其与第三配位球的尺寸相当。利用含时的三粒子关联函数分析了三粒子关联的时间演化,并利用投影算子技术导出了广义Langevin方程型的积分-微分方程.通过模式耦合理论的这个方程的解决方案与我们的模拟结果进行了比较。结果发现,该解决方案正确地再现了液态和非晶铝的时间依赖的三粒子关联函数的行为。

英文摘要:

Analysis of three-particle correlations is performed on the basis of simulation data of atomic dynamics in liquid and amorphous aluminium. A three-particle correlation function is introduced to characterize the relative positions of various three particles -- the so-called triplets. Various configurations of triplets are found by calculation of pair and three-particle correlation functions. It was found that in the case of liquid aluminium with temperatures $1000\,$K, $1500\,$K, and $2000\,$K the three-particle correlations are more pronounced within the spatial scales, comparable with a size of the second coordination sphere. In the case of amorphous aluminium with temperatures $50\,$K, $100\,$K, and $150\,$K these correlations in the mutual arrangement of three particles are manifested up to spatial scales, which are comparable with a size of the third coordination sphere. Temporal evolution of three-particle correlations is analyzed by using a time-dependent three-particle correlation function, for which an integro-differential equation of type of the generalized Langevin equation is output with help of projection operators technique. A solution of this equation by means of mode-coupling theory is compared with our simulation results. It was found that this solution correctly reproduces the behavior of the time-dependent three-particle correlation functions for liquid and amorphous aluminium.

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。

↑