Localization transition of instantaneous normal modes and liquid diffusion

被引：24

作者：

Clapa, Vasile Iulian ^{[1
]}

Kottos, Tsampikos ^{[1
]}

Starr, Francis W. ^{[1
]}

机构：

[1] Wesleyan Univ, Dept Phys, Middletown, CT 06459 USA

来源：

JOURNAL OF CHEMICAL PHYSICS | 2012年 / 136卷 / 14期

基金：

美国国家科学基金会;

关键词：

POTENTIAL-ENERGY LANDSCAPE; SPARSE RANDOM MATRICES; LENNARD-JONES MIXTURE; GLASS-FORMING LIQUID; SUPERCOOLED LIQUIDS; ANDERSON LOCALIZATION; DISORDERED-SYSTEMS; COUPLING THEORY; SELF-DIFFUSION; DYNAMICS;

D O I：

10.1063/1.3701564

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We analyze the structure of instantaneous normal modes (INM) associated with the Hessian matrix of a liquid. Utilizing a scaling theory developed in the framework of Anderson localization studies, we unambiguously identify the crossover point in the INM spectrum between extended and localized modes. We establish a relation between the unstable, delocalized INMs and the liquid diffusion coefficient that appears valid over a large temperature range, covering both Arrhenius and non-Arrhenius regimes of temperature dependence. These results suggest a possible route to theoretically relate dynamics to thermodynamical properties of the liquid via the tomography of the INMs. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3701564]

引用

页数：7

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