PMID: 22587050May 17, 2012Paper

Dynamic mean-field and cavity methods for diluted Ising systems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Erik Aurell, Hamed Mahmoudi

Abstract

We compare dynamic mean-field and dynamic cavity methods to describe the stationary states of dilute kinetic Ising models. We compute dynamic mean-field theory by expanding in interaction strength to third order, and we compare to the exact dynamic mean-field theory for fully asymmetric networks. We show that in diluted networks, the dynamic cavity method generally predicts magnetizations of individual spins better than both first-order ("naive") and second-order ("TAP") dynamic mean-field theory.

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Citations

Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gino Del Ferraro, Erik Aurell

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