Critical Dynamics in Glassy Systems

Abstract

Critical dynamics in various glass models including those described by mode coupling theory is described by scale-invariant dynamical equations with a single non-universal quantity, i.e. the so-called parameter exponent that determines all the dynamical critical exponents. We show that these equations follow from the structure of the static replicated Gibbs free energy near the critical point. In particular the exponent parameter is given by the ratio between two cubic proper vertexes that can be expressed as six-point cumulants measured in a purely static framework.

24 pages, accepted for publication on PRE. Discussion of the connection with MCT added in the Conclusions

References in corpus (3)

• On the two-steps relaxation of mean-field glasses: p-spin model
• Predictive power of MCT: Numerics and Finite size scaling for a mean field spin glass
• Critical slowing down exponents in quenched disordered spin models for structural glasses: Random Orthogonal and related models

Cited by in corpus (6)

• Multiple reentrant glass transitions in confined hard-sphere glasses
• Static replica approach to critical correlations in glassy systems
• Long-wavelength fluctuations lead to a model of the glass crossover
• Critical Off-Equilibrium Dynamics in Glassy Systems
• Super-Cooled Liquids: Equivalence between Mode-Coupling Theory and Replica Approach
• A note on weakly discontinuous dynamical transitions