A Non-Disordered Glassy Model with a Tunable Interaction Range

Abstract

We introduce a non-disordered lattice spin model, based on the principle of minimizing spin-spin correlations up to a (tunable) distance R. The model can be defined in any spatial dimension D, but already for D=1 and small values of R (e.g. R=5) the model shows the properties of a glassy system: deep and well separated energy minima, very slow relaxation dynamics, aging and non-trivial fluctuation-dissipation ratio.

4 pages, 5 figures

References in corpus (7)

• Supercooled Liquids for Pedestrians
• Glassy dynamics of kinetically constrained models
• Spin-Glass Theory for Pedestrians
• Lattice Glass Models
• Measuring the fluctuation-dissipation ratio in glassy systems with no perturbing field
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Cited by in corpus (2)

• Theoretical perspective on the glass transition and amorphous materials
• Solving unconstrained 0-1 polynomial programs through quadratic convex reformulation