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二元液体的广义流体动力学:横向集体模式。

Generalized hydrodynamics of binary liquids: transverse collective modes.

作者信息

Bryk T, Mryglod I

机构信息

Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsitskii Street, UA-79011 Lviv, Ukraine.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Aug;62(2 Pt A):2188-99. doi: 10.1103/physreve.62.2188.

Abstract

The parameter-free generalized collective modes approach in eight-variable approximation is applied for investigation of transverse dynamics of Lennard-Jones liquid Kr-Ar beyond the hydrodynamic region. We find four branches of propagating eigenmodes in the spectrum of transverse collective excitations. Different basis sets of dynamical variables are applied to estimate the origin of different branches in the spectrum. It is shown that for large wave numbers the general feature of transverse collective excitations is their "partial" character, while in hydrodynamic limit they are formed by collective behavior of liquid. A detailed analysis of the separated contributions from different collective modes into time correlation functions and spectral functions is performed. The condition of existence of high-frequency mass-concentration waves is derived. It is shown that high-frequency collective excitations, caused by the mass-concentration fluctuations, reflect some properties of optic phonon modes in solids.

摘要

采用八变量近似下的无参数广义集体模式方法,对超出流体动力学区域的 Lennard-Jones 液体 Kr-Ar 的横向动力学进行研究。我们在横向集体激发谱中发现了四个传播本征模分支。应用不同的动力学变量基组来估计谱中不同分支的起源。结果表明,对于大波数,横向集体激发的一般特征是其“部分”特性,而在流体动力学极限下,它们由液体的集体行为形成。对不同集体模式对时间关联函数和谱函数的单独贡献进行了详细分析。推导了高频质量浓度波存在的条件。结果表明,由质量浓度涨落引起的高频集体激发反映了固体中光学声子模式的一些特性。

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