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On the dynamics of the glass transition on Bethe lattices

Andrea Montanari·Guilhem Semerjian
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Abstract

The Glauber dynamics of disordered spin models with multi-spin interactions on sparse random graphs (Bethe lattices) is investigated. Such models undergo a dynamical glass transition upon decreasing the temperature or increasing the degree of constrainedness. Our analysis is based upon a detailed study of large scale rearrangements which control the slow dynamics of the system close to the dynamical transition. Particular attention is devoted to the neighborhood of a zero temperature tricritical point. Both the approach and several key results are conjectured to be valid in a considerably more general context.

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Andrea Montanari, Guilhem Semerjian. 2005-09-14. On the dynamics of the glass transition on Bethe lattices. https://doi.org/10.1007/s10955-006-9103-1

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