Dynamic mean-field and cavity methods for diluted Ising systems

Details Dynamic mean-field and cavity methods for diluted Ising systems Dynamic mean-field and cavity methods for diluted Ising systems

2011-09-15

arxiv.org/abs/1109.3399v3

Phys. Rev. E 85, 031119 (2012)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevE.85.031119

We compare dynamic mean-field and dynamic cavity as 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 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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