Cell Theory for Liquid Solids and Glasses: From Local Packing Configurations to Global Complex Behaviors

Date

2004

Authors

Aste, Tomaso
Coniglio, Antonio

Journal Title

Journal ISSN

Volume Title

Publisher

Les Editions de Physique

Abstract

We develop a novel approach that combines the ideas of inherent structures, freevolume theory and geometrical packing properties to derive a general theory to understanding the complex dynamics of glass-forming liquids, granular packings and amorphous solids. We show that the thermodynamical properties of these systems can be retrieved from the study of geometrical and topological properties of local configurations only. When applied to hard-sphere systems, the present theory describes the critical approach toward the random close-packing density with the configurational entropy that approaches zero, and the α-relaxation time that diverges according to the Vogel-Fulcher behavior following also the Adam-Gibbs relation. The equation of state derived for the stable fluid, the metastable fluid, and for the crystalline and amorphous solids, results in good quantitative agreement with the data available in the literature.

Description

Keywords

Citation

Source

Europhysics Letters

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1209/epl/i2003-10284-x

Restricted until