Super-Cooled Liquids: Equivalence between Mode-Coupling Theory and Replica Approach

Abstract

We show that the replica approach to glassy dynamics provides, in spite of its static nature, a characterization of critical dynamics in the $\beta$-regime of super-cooled liquids that is equivalent to the one of Mode-Coupling-Theory, both qualitatively and quantitatively. The nature and extent of this equivalence is discussed in connection to the main open problems of the current theory.

extended version, accepted for publication on PRE

References in corpus (8)

• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Structural relaxation of polydisperse hard spheres: comparison of the mode-coupling theory to a Langevin dynamics simulation
• Finite size effects in the dynamics of glass-forming liquids
• Critical Dynamics in Glassy Systems
• On the two-steps relaxation of mean-field glasses: p-spin model
• Critical slowing down exponents in quenched disordered spin models for structural glasses: Random Orthogonal and related models