2001/11/09 by M. R. Evans, M R Evans
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/0953-8984/14/7/302
published as J.Phys:Condens. Matter 14 (2002) 1397-1422 · 31 pages, Contribution to the ESF SPHINX meeting `Glassy behaviour of kinetically constrained models' (Barcelona, March 22-25, 2001) to appear in J. Phys. Cond. Mat
arxiv created 2001/11/09 · openalex publication_date 2002/02/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
An overview of the related topics of anomalous coarsening and glassy dynamics is given. In anomalous coarsening, the typical domain size of an ordered phase grows more slowly with time than the power law dependence that is usually observed, for example, in magnetic systems. We discuss how anomalous coarsening may arise through domain-size-dependent energy barriers in the coarsening process. We also review the phenomenology of glassy dynamics and discuss how simple nonequilibrium models may be used to reproduce certain aspects of the phenomenology. In particular, models involving dynamical constraints that give rise to anomalous coarsening are considered. Two models, the asymmetric constrained Ising chain and the ABC model, are discussed in detail with emphasis on how the large energy barriers to coarsening arise through the local dynamical constraints. Finally, the relevance of models exhibiting anomalous coarsening to glassy systems is discussed in a wider context.