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Document Type

Article

Journal or Conference Title

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.

Comments

Originally uploaded to arXiv on 10-4-2008 at href="http://arxiv.org/pdf/0806.4573v2.pd

Publisher Statement

Copyright 2002 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

The following article appeared in: Jacob D. Stevenson, Aleksandra M. Walczak, Randall W. Hall, Peter G. Wolynes, "Constructing explicit magnetic analogies for the dynamics of glass forming liquids", J. Chem. Phys. 129, 1945605 (2008).

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