Time scale separation and heterogeneous off-equilibrium dynamics in spin models over random graphs

Details Time scale separation and heterogeneous off-equilibrium dynamics in spin models over random graphs Time scale separation and heterogeneous off-equilibrium dynamics in spin models over random graphs

1998-11-03

arxiv.org/abs/cond-mat/9811033v1

Phys. Rev. E 59 (1999) R1299

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, latex, 2 postscript figures

Scientific paper

10.1103/PhysRevE.59.R1299

We study analytically and numerically the statics and the off-equilibrium dynamics of spin models over finitely connected random graphs. We identify a threshold value for the connectivity beyond which the loop structure of the graph becomes thermodynamically relevant. Glauber dynamics simulations show that this loop structure is responsible for the onset of dynamical features of a local character (dynamical heterogeneities and spontaneous time scale separation), consistently with previous (experimental and numerical) studies of glasses and spin glasses in their approach to the low temperature phase.

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