Constructing explicit magnetic analogies for the dynamics of glass forming liquids.

Citation data:

The Journal of chemical physics, ISSN: 1089-7690, Vol: 129, Issue: 19, Page: 194505

Publication Year:
2008
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Repository URL:
https://scholar.dominican.edu/all-faculty/24; https://works.bepress.com/randall_hall/66
PMID:
19026064
DOI:
10.1063/1.3009827
PMCID:
PMC2671667
Author(s):
Stevenson, Jacob D.; Walczak, Aleksandra M.; Hall, Randall W.; Wolynes, Peter G.
Publisher(s):
AIP Publishing; This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.; <p>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.</p> <p>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).</p>; <p>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.</p> <p>The following article appeared in: Jacob D. Stevenson, Aleksandra M. Walczak, Randall W. Hall, Peter G. Wolynes,
Tags:
Physics and Astronomy; Chemistry; Free Energy; Mean Field Theory; Entropy; Magnetic Liquids; Magnets; Physics
article description
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.