English

Growing length scales in aging systems

Statistical Mechanics 2010-10-04 v1

Abstract

We summarize studies of growing lengths in different aging systems. The article is structured as follows. We recall the definition of a number of observables, typically correlations and susceptibilities, that give access to dynamic and static correlation lengths. We use a growing length perspective to review three out of equilibrium cases: domain growth phenomena; the evolution of Edwards-Wilkinson and Kardar-Parisi-Zhang manifolds and other directed elastic manifolds in random media; spin and structural glasses in relaxation and under an external drive. Finally, we briefly report on a mechanism for dynamic fluctuations in aging systems that is based on a time-reparametrization invariance scenario and may be at the origin of the dynamic growing length in glassy materials.

Keywords

Cite

@article{arxiv.1010.0149,
  title  = {Growing length scales in aging systems},
  author = {Federico Corberi and Leticia F. Cugliandolo and Hajime Yoshino},
  journal= {arXiv preprint arXiv:1010.0149},
  year   = {2010}
}

Comments

Chapter of "Dynamical heterogeneities in glasses, colloids, and granular media", Eds.: L. Berthier, G. Biroli, J-P Bouchaud, L. Cipelletti and W. van Saarloos (Oxford University Press, to appear), more info at http://w3.lcvn.univ-montp2.fr/~lucacip/DH_book.htm

R2 v1 2026-06-21T16:22:22.767Z