Glassy dynamics as a melting process (On melting dynamics and the glass transition, Part II)

Abstract

There are deep analogies between the melting dynamics in systems with a first order phase transition and the dynamics from equilibrium in super-cooled liquids. For a class of Ising spin models undergoing a first order transition - namely p-spin models on the so-called Nishimori line - it can be shown that the melting dynamics can be exactly mapped to the equilibrium dynamics. In this mapping the dynamical -or mode-coupling- glass transition corresponds to the spinodal point, while the Kauzmann transition corresponds to the first order phase transition itself. Both in mean field and finite dimensional models this mapping provides an exact realization of the random first order theory scenario for the glass transition. The corresponding glassy phenomenology can then be understood in the framework of a standard first order phase transition.

14 pages, 7 figures, second part of two papers on melting dynamics and the glass transition

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Cited by in corpus (25)

• Statistical physics of inference: Thresholds and algorithms
• Probabilistic Reconstruction in Compressed Sensing: Algorithms, Phase Diagrams, and Threshold Achieving Matrices
• Field Theory of Fluctuations in Glasses
• Cooperative Strings and Glassy Interfaces
• Replica theory of the rigidity of structural glasses
• Equilibrium ultrastable glasses produced by random pinning
• Universality Classes of Critical Points in Constrained Glasses
• The melting of stable glasses is governed by nucleation-and-growth dynamics
• Performance of simulated annealing in p-spin glasses
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• Many-body spin glasses in the microcanonical ensemble
• Dynamical critical behavior on the Nishimori point of frustrated Ising models