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Glassy dynamics and aging in an exactly solvable spin model

Glassy dynamics and aging in an exactly solvable spin model We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition function of the model and the distribution of energy barriers, giving us the equilibration time scales at low temperature. Simulations of instantaneous quenches and of annealing of the model are in good agreement with the analytic calculations. We also measure the two-time spin correlation as a function of waiting time, and show that the model has aging behavior consistent with the distribution of barrier heights. The model appears to have no sharp glass transition. Instead, it falls out of equilibrium at a temperature which decreases logarithmically as a function of the cooling time. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review E American Physical Society (APS)

Glassy dynamics and aging in an exactly solvable spin model

Physical Review E , Volume 60 (5) – Nov 1, 1999
5 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1999 The American Physical Society
ISSN
1095-3787
DOI
10.1103/PhysRevE.60.5068
Publisher site
See Article on Publisher Site

Abstract

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition function of the model and the distribution of energy barriers, giving us the equilibration time scales at low temperature. Simulations of instantaneous quenches and of annealing of the model are in good agreement with the analytic calculations. We also measure the two-time spin correlation as a function of waiting time, and show that the model has aging behavior consistent with the distribution of barrier heights. The model appears to have no sharp glass transition. Instead, it falls out of equilibrium at a temperature which decreases logarithmically as a function of the cooling time.

Journal

Physical Review EAmerican Physical Society (APS)

Published: Nov 1, 1999

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