Glassiness and constrained dynamics of a short-range nondisordered spin model
We study the low temperature dynamics of a two-dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual description in terms of free defects subject to dynamical constraints, and is an explicit realization of the "hierarchically constrained dynamics" scenario for glassy systems. We give a number of exact results for the statics of the model, and study in detail the dynamical behavior of one-time and two-time quantities. We also consider the role played by the configurational entropy, which can be computed exactly, in the relation between fluctuations and response.
Garrahan
JP
Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Newman
ME