Fluctuations in glassy systems

Abstract

We summarize a theoretical framework based on global time-reparametrization invariance that explains the origin of dynamic fluctuations in glassy systems. We introduce the main ideas without getting into much technical details. We describe a number of consequences arising from this scenario that can be tested numerically and experimentally distinguishing those that can also be explained by other mechanisms from the ones that we believe, are special to our proposal. We support our claims by presenting some numerical checks performed on the 3d Edwards-Anderson spin-glass. Finally, we discuss up to which extent these ideas apply to super-cooled liquids that have been studied in much more detail up to present.

33 pages, 7 figs, contribution to JSTAT special issue `Principles of Dynamical Systems' work-shop at Newton Institute, Univ. of Cambridge, UK

References in corpus (3)

• Exact results for curvature-driven coarsening in two dimensions
• Caging and mosaic lengthscales in plaquette spin models of glasses
• Dynamic fluctuations of elastic lines in random environments

Cited by in corpus (7)

• Growing correlations and aging of an elastic line in a random potential
• Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
• Out-of-equilibrium relaxation of the Edwards-Wilkinson elastic line
• Aging dynamics of non-linear elastic interfaces: the Kardar-Parisi-Zhang equation
• The out of equilibrium dynamics of the Sherrington-Kirkpatrick model
• Dynamic heterogeneities in critical coarsening: Exact results for correlation and response fluctuations in finite-sized spherical models (Version 2)
• From particles to spins: Eulerian formulation of supercooled liquids and glasses