Dynamic mean-field and cavity methods for diluted Ising systems
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 85, no 3, 031119- p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2012. Vol. 85, no 3, 031119- p.
IdentifiersURN: urn:nbn:se:kth:diva-93386DOI: 10.1103/PhysRevE.85.031119ISI: 000301773200003ScopusID: 2-s2.0-84859015238OAI: oai:DiVA.org:kth-93386DiVA: diva2:515999
QC 201204162012-04-172012-04-162012-04-17Bibliographically approved