Cavity master equation for the continuous time dynamics of discrete-spin models

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en Aurell, E. Del Ferraro, Gino Dominguez, E. Mulet, R. 2018-08-01T13:30:26Z 2018-08-01T13:30:26Z 2017-05-12
dc.identifier.citation Aurell , E , Del Ferraro , G , Dominguez , E & Mulet , R 2017 , ' Cavity master equation for the continuous time dynamics of discrete-spin models ' PHYSICAL REVIEW E , vol 95 , no. 5 , 052119 , pp. 1-14 . DOI: 10.1103/PhysRevE.95.052119 en
dc.identifier.issn 2470-0045
dc.identifier.issn 1550-2376
dc.identifier.other PURE UUID: 87e20c7d-a7f2-4150-a784-f705d7478d5e
dc.identifier.other PURE ITEMURL:
dc.identifier.other PURE FILEURL:
dc.description.abstract We present an alternate method to close the master equation representing the continuous time dynamics of interacting Ising spins. The method makes use of the theory of random point processes to derive a master equation for local conditional probabilities. We analytically test our solution studying two known cases, the dynamics of the mean-field ferromagnet and the dynamics of the one-dimensional Ising system. We present numerical results comparing our predictions with Monte Carlo simulations in three different models on random graphs with finite connectivity: the Ising ferromagnet, the random field Ising model, and the Viana-Bray spin-glass model. en
dc.format.extent 14
dc.format.extent 1-14
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries PHYSICAL REVIEW E en
dc.relation.ispartofseries Volume 95, issue 5 en
dc.rights openAccess en
dc.subject.other 114 Physical sciences en
dc.title Cavity master equation for the continuous time dynamics of discrete-spin models en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Department of Applied Physics
dc.contributor.department Royal Institute of Technology
dc.contributor.department University of Havana
dc.subject.keyword GLASS MODEL
dc.subject.keyword 114 Physical sciences
dc.identifier.urn URN:NBN:fi:aalto-201808014235
dc.identifier.doi 10.1103/PhysRevE.95.052119
dc.type.version publishedVersion

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