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

Juan P. Garrahan·M. E. J. Newman
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Abstract

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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Juan P. Garrahan, M. E. J. Newman. 2000-08-22. Glassiness and constrained dynamics of a short-range non-disordered spin model. https://doi.org/10.1103/physreve.62.7670

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