Constructing explicit magnetic analogies for the dynamics of glass forming liquids

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 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.

References in corpus (3)

• Glass Phenomenology from the Connection to Spin Glasses
• A novel method for evaluating the critical nucleus and the surface tension in systems with first order phase transition
• Spin Glass Theory: numerical and experimental results in three-dimensional systems

Cited by in corpus (5)

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• Static self-induced heterogeneity in glass-forming liquids: Overlap as a microscope