A message-passing scheme for non-equilibrium stationary states
2011 (English)In: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, ISSN 1742-5468, P04014- p.Article in journal (Refereed) Published
We study stationary states in a diluted asymmetric (kinetic) Ising model. We apply the recently introduced dynamic cavity method to compute magnetizations of these stationary states. Depending on the update rule, different versions of the dynamic cavity method apply. We here study synchronous updates and random sequential updates, and compare local properties computed by the dynamic cavity method to numerical simulations. Using both types of updates, the dynamic cavity method is highly accurate at high enough temperatures. At low enough temperatures, for sequential updates the dynamic cavity method tends to a fixed point, but this does not agree with numerical simulations, while for parallel updates, the dynamic cavity method may display oscillatory behavior. When it converges and is accurate, the dynamic cavity method offers a huge speed-up compared to Monte Carlo, particularly for large systems.
Place, publisher, year, edition, pages
2011. P04014- p.
cavity and replica method
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-33711DOI: 10.1088/1742-5468/2011/04/P04014ISI: 000289995100015ScopusID: 2-s2.0-79955800106OAI: oai:DiVA.org:kth-33711DiVA: diva2:418239
QC 201105202011-05-202011-05-162011-05-20Bibliographically approved