Chapter

Growing length scales in aging systems

Federico Corberi, Leticia F. Cugliandolo and Hajime Yoshino

in Dynamical Heterogeneities in Glasses, Colloids, and Granular Media

Published in print July 2011 | ISBN: 9780199691470
Published online September 2011 | e-ISBN: 9780191729799 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691470.003.0011

Series: International Series of Monographs on Physics

Growing length scales in aging systems

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The goal of this chapter is to review recent analytical results about the growth of a (static) correlation length in glassy systems, and the connection that can be made between this lengthscale and the equilibrium correlation time of its dynamics. The definition of such a lengthscale is first given in a generic setting, including finite-dimensional models, along with rigorous bounds linking it to the correlation time. We then present some particular cases (finite connectivity mean-field models, and Kac limit of finite-dimensional systems) where this length can be actually computed.

Keywords: glass transition; dynamical heterogeneity; aging; dynamic correlation length; static correlation length

Chapter.  18901 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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