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Dynamic mean-field and cavity methods for diluted Ising systems
KTH, School of Computer Science and Communication (CSC), Computational Biology, CB. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 85, no 3, 031119- p.Article in journal (Refereed) Published
Abstract [en]

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.
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Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-93386DOI: 10.1103/PhysRevE.85.031119ISI: 000301773200003Scopus ID: 2-s2.0-84859015238OAI: oai:DiVA.org:kth-93386DiVA: diva2:515999
Note
QC 20120416Available from: 2012-04-17 Created: 2012-04-16 Last updated: 2017-12-07Bibliographically approved

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