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:
- Repository URL:
- https://scholar.dominican.edu/all-faculty/24; https://works.bepress.com/randall_hall/66; http://arxiv.org/abs/0806.4573
- Physics and Astronomy; Chemistry; Free Energy; Mean Field Theory; Entropy; Magnetic Liquids; Magnets; Physics; Condensed Matter - Soft Condensed Matter; Condensed Matter - Disordered Systems and Neural Networks
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.