Document Type
Article
Source
The Journal of Chemical Physics
ISSN
0021-9606
Volume
129
Issue
19
Publication Date
2008
Department
Natural Sciences and Mathematics
Abstract
By defining a spatially varying replica overlap parameter for a supercooled liquid referenced to an ensemble of fiducial liquid state configurations, we explicitly construct a constrained replica free energy functional that maps directly onto an Ising Hamiltonian with both random fields and random interactions whose statistics depend on the liquid structure. Renormalization group results for random magnets when combined with these statistics for the Lennard-Jones glass suggest that discontinuous replica symmetry breaking would occur if a liquid with short range interactions could be equilibrated at a sufficiently low temperature where its mean field configurational entropy would vanish, even though the system strictly retains a finite configurational entropy.
Rights
Copyright © 2002 American Institute of Physics
Publisher Statement
This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
PubMed ID
19026064
Comments
Originally uploaded to arXiv on 10-4-2008 at href="http://arxiv.org/pdf/0806.4573v2.pd