On the dynamics of the glass transition on Bethe lattices

Details On the dynamics of the glass transition on Bethe lattices On the dynamics of the glass transition on Bethe lattices

2005-09-14

arxiv.org/abs/cond-mat/0509366v1

J. Stat. Phys. 124, 103 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

56 pages, 38 eps figures

Scientific paper

10.1007/s10955-006-9103-1

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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