Glassiness and constrained dynamics of a short-range non-disordered spin model

Details Glassiness and constrained dynamics of a short-range non-disordered spin model Glassiness and constrained dynamics of a short-range non-disordered spin model

2000-07-24

arxiv.org/abs/cond-mat/0007372v2

Phys. Rev. E 62, 7670-7678 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 9 figures; minor changes, references added

Scientific paper

10.1103/PhysRevE.62.7670

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 behaviour 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.

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