Critical behaviour of large scale dynamical heterogeneities in glasses: a complete theory

Details Critical behaviour of large scale dynamical heterogeneities in glasses: a complete theory Critical behaviour of large scale dynamical heterogeneities in glasses: a complete theory

2010-08-05

arxiv.org/abs/1008.0996v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Talk given by Giorgio Parisi at StatphysHK, Hong-Kong, July 2010, 14 pages, 6 figures

Scientific paper

In this talk I will present a complete theory for the behaviour of large-scale dynamical heterogeneities in glasses. Following the work arXiv:1001.1746 I will show that we can write a (physically motivated) simple stochastic differential equation that is potentially able to explain the behaviour of large scale dynamical heterogeneities in glasses. It turns out that this behaviour is in the same universality class of the dynamics near the endpoint of a metastable phase in a disordered system, as far as reparametrization invariant quantities are concerned. Therefore Large scale dynamical heterogeneities in glasses have many points in contact with the Barkhausen noise. Numerical verifications of this theory have not yet done, but they are quite possible.

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