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Exploring the diluted ferromagnetic p-spin model with a cavity master equation
KTH, School of Electrical Engineering and Computer Science (EECS), Computational Science and Technology (CST).
Univ Havana, Dept Theoret Phys, Grp Complex Syst & Stat Phys, Havana, Cuba..
Univ Havana, Dept Theoret Phys, Grp Complex Syst & Stat Phys, Havana, Cuba..
Univ Havana, Dept Theoret Phys, Grp Complex Syst & Stat Phys, Havana, Cuba..
2018 (English)In: Physical review. E, ISSN 2470-0045, E-ISSN 2470-0053, Vol. 97, no 5, article id 050103Article in journal (Refereed) Published
Abstract [en]

We introduce an alternative solution to Glauber multispin dynamics on random graphs. The solution is based on the recently introduced cavity master equation (CME), a time-closure turning the, in principle, exact dynamic cavity method into a practical method of analysis and of fast simulation. Running CME once is of comparable computational complexity as one Monte Carlo run on the same problem. We show that CME correctly models the ferromagnetic p-spin Glauber dynamics from high temperatures down to and below the spinoidal transition. We also show that CME allows an alternative exploration of the low-temperature spin-glass phase of the model.

Place, publisher, year, edition, pages
American Physical Society, 2018. Vol. 97, no 5, article id 050103
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-230426DOI: 10.1103/PhysRevE.97.050103ISI: 000433423200001Scopus ID: 2-s2.0-85048139624OAI: oai:DiVA.org:kth-230426DiVA, id: diva2:1220064
Note

QC 20180618

Available from: 2018-06-18 Created: 2018-06-18 Last updated: 2018-12-03Bibliographically approved

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Aurell, Erik

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