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Aurell, E; Del Ferraro, G; Dominguez, E; Mulet, R; Del Ferraro, G (reprint author), AlbaNova Univ Ctr, Dept Computat Biol, SE-10691 Stockholm, Sweden.
Cavity master equation for the continuous time dynamics of discrete-spin models
Source PublicationPHYSICAL REVIEW E
Language英语
AbstractWe 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.
2017
Volume95Issue:5Pages:52119
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1103/PhysRevE.95.052119
Funding OrganizationSwedish Science Council [621-2012-2982] ; Swedish Science Council [621-2012-2982] ; Swedish Science Council [621-2012-2982] ; Swedish Science Council [621-2012-2982] ; Academy of Finland through its Center of Excellence COIN ; Academy of Finland through its Center of Excellence COIN ; Academy of Finland through its Center of Excellence COIN ; Academy of Finland through its Center of Excellence COIN ; Chinese Academy of Sciences CAS Presidents International Fellowship Initiative (PIFI) [2016VMA002] ; Chinese Academy of Sciences CAS Presidents International Fellowship Initiative (PIFI) [2016VMA002] ; Chinese Academy of Sciences CAS Presidents International Fellowship Initiative (PIFI) [2016VMA002] ; Chinese Academy of Sciences CAS Presidents International Fellowship Initiative (PIFI) [2016VMA002] ; European Union through Marie Curie ITN [290038] ; European Union through Marie Curie ITN [290038] ; European Union through Marie Curie ITN [290038] ; European Union through Marie Curie ITN [290038] ; STINT ; STINT ; STINT ; STINT ; EUSBIOS. ; EUSBIOS. ; EUSBIOS. ; EUSBIOS.
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22056
Collection理论物理所科研产出_SCI论文
Corresponding AuthorDel Ferraro, G (reprint author), AlbaNova Univ Ctr, Dept Computat Biol, SE-10691 Stockholm, Sweden.
Recommended Citation
GB/T 7714
Aurell, E,Del Ferraro, G,Dominguez, E,et al. Cavity master equation for the continuous time dynamics of discrete-spin models[J]. PHYSICAL REVIEW E,2017,95(5):52119.
APA Aurell, E,Del Ferraro, G,Dominguez, E,Mulet, R,&Del Ferraro, G .(2017).Cavity master equation for the continuous time dynamics of discrete-spin models.PHYSICAL REVIEW E,95(5),52119.
MLA Aurell, E,et al."Cavity master equation for the continuous time dynamics of discrete-spin models".PHYSICAL REVIEW E 95.5(2017):52119.
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