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The Journal of Chemical Physics : Constructing explicit magnetic analogies for the dynamics of glass forming liquids

By Jacob D. Stevenson, Aleksandra M. Walczak, Randall W. Hall, and Peter G. Wolynes

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Book Id: WPLBN0002169504
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 18 November 2008

Title: The Journal of Chemical Physics : Constructing explicit magnetic analogies for the dynamics of glass forming liquids  
Author: Jacob D. Stevenson, Aleksandra M. Walczak, Randall W. Hall, and Peter G. Wolynes
Volume: Issue : November 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), The Journal of Chemical Physics Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Stevenson, Aleksandra M. Walczak, Randall W. Hall, And Peter G. Wolyne, J. D. (n.d.). The Journal of Chemical Physics : Constructing explicit magnetic analogies for the dynamics of glass forming liquids. Retrieved from http://community.worldlibrary.net/


Description
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.

 

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