title: Dynamic mean-field and cavity methods for diluted Ising systems.
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.
authors.affiliation: Department of Computational Biology, AlbaNova University Centre, Stockholm, Sweden.
authors.forename: Erik
authors.initials: E
authors.lastname: Aurell
authors.forename: Hamed
authors.initials: H
authors.lastname: Mahmoudi
mesh_terms: D003198:Computer Simulation; D060526:Magnetic Fields; D008956:Models, Chemical; D044367:Phase Transition