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

共 50 条

[21] Instantaneous normal mode analysis of liquid HF
Garberoglio, G
Vallauri, R
[J]. PHYSICAL REVIEW LETTERS, 2000, 84 (21) : 4878 - 4881
[22] Pure translation instantaneous normal modes: Imaginary frequency contributions vanish at the glass transition in CS2
Li, WX
Keyes, T
[J]. JOURNAL OF CHEMICAL PHYSICS, 1997, 107 (18): : 7275 - 7277
[23] Localization of soft modes at the depinning transition
Cao, Xiangyu
Bouzat, Sebastian
Kolton, Alejandro B.
Rosso, Alberto
[J]. PHYSICAL REVIEW E, 2018, 97 (02)
[24] Entropy, dynamics, and instantaneous normal modes in a random energy model
Keyes, T
[J]. PHYSICAL REVIEW E, 2000, 62 (06): : 7905 - 7908
[25] Heterogeneous-elasticity theory of instantaneous normal modes in liquids
Mossa, Stefano
Bryk, Taras
Ruocco, Giancarlo
Schirmacher, Walter
[J]. SCIENTIFIC REPORTS, 2023, 13 (01):
[26] Predicting plasticity of amorphous solids from instantaneous normal modes
Kriuchevskyi, Ivan
Sirk, Timothy W.
Zaccone, Alessio
[J]. PHYSICAL REVIEW E, 2022, 105 (05)
[27] The relationship between the elastic constants and the instantaneous normal modes of liquids
R. M. Stratt
[J]. International Journal of Thermophysics, 1997, 18 : 899 - 907
[28] Spectral statistics of instantaneous normal modes in liquids and random matrices
Sastry, S
Deo, N
Franz, S
[J]. PHYSICAL REVIEW E, 2001, 64 (01): : 4 - 016305
[29] The relationship between the elastic constants and the instantaneous normal modes of liquids
Stratt, RM
[J]. INTERNATIONAL JOURNAL OF THERMOPHYSICS, 1997, 18 (04) : 899 - 907
[30] A new approach for the analytic computation of the instantaneous normal modes spectrum
Cavagna, A
Giardina, I
Parisi, G
[J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 2000, 12 (29) : 6295 - 6304

← 1 2 3 4 5 →