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A closure for the master equation starting from the dynamic cavity method
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- Aurell, Erik (author)
- KTH,Beräkningsvetenskap och beräkningsteknik (CST),Albanova VinnExcellence Center for Protein Technology, ProNova
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- Machado Perez, David (author)
- Univ Havana, Phys Fac, Dept Theoret Phys, Grp Complex Syst & Stat Phys, Havana, Cuba.
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- Mulet, Roberto (author)
- Univ Havana, Phys Fac, Dept Theoret Phys, Grp Complex Syst & Stat Phys, Havana, Cuba.
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(creator_code:org_t)
- 2023-03-29
- English.
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In: Journal of Physics A. - : IOP Publishing. - 1751-8113 .- 1751-8121. ; 56:17
- Related links:
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https://doi.org/10.1...
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Abstract
Subject headings
Close
- We consider classical spin systems evolving in continuous time with interactions given by a locally tree-like graph. Several approximate analysis methods have earlier been reported based on the idea of Belief Propagation / cavity method. We introduce a new such method which can be derived in a more systematic manner using the theory of Random Point Processes. Within this approach, the master equation governing the system's dynamics is closed via a set of differential equations for the auxiliary cavity probabilities. The numerical results improve on the earlier versions of the closure on several important classes of problems. We re-visit here the cases of the Ising ferromagnet and the Viana-Bray spin-glass model.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- closure
- dynamic cavity
- cavity master equation
- Ising ferromagnet
- Viana-Bray spin glass
Publication and Content Type
- ref (subject category)
- art (subject category)
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