Power-law Decay and the Ergodic-Nonergodic Transition in Simple Fluids

It is well known that mode coupling theory (MCT) leads to a two step power-law time decay in dense simple fluids. We show that much of the mathematical machinery used in the MCT analysis can be taken over to the analysis of the systematic theory developed in the Fundamental Theory of Statistical Par...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2013-02
Main Authors: Spyridis, Paul, Mazenko, Gene F
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Decay
Fluids
Power law
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:It is well known that mode coupling theory (MCT) leads to a two step power-law time decay in dense simple fluids. We show that much of the mathematical machinery used in the MCT analysis can be taken over to the analysis of the systematic theory developed in the Fundamental Theory of Statistical Particle Dynamics (arXiv:0905.4904). We show how the power-law exponents can be computed in the second-order approximation where we treat hard-sphere fluids with statics described by the Percus-Yevick solution.
ISSN:2331-8422
DOI:10.48550/arxiv.1302.2281