Random-field Ising model on complete graphs and trees

Details Random-field Ising model on complete graphs and trees Random-field Ising model on complete graphs and trees

2002-03-08

arxiv.org/abs/cond-mat/0203194v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1088/0305-4470/35/19/101

We present exact results for the critical behavior of the RFIM on complete graphs and trees, both at equilibrium and away from equilibrium, i.e., models for hysteresis and Barkhausen noise. We show that for stretched exponential and power law distributions of random fields the behavior on complete graphs is non-universal, while the behavior on Cayley trees is universal even in the limit of large co-ordination.

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