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

doi:http://dx.doi.org/10.1103/PhysRevE.95.052119

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	Cavity master equation for the continuous time dynamics of discrete-spin models
	Del Ferraro, G (reprint author), AlbaNova Univ Ctr, Dept Computat Biol, SE-10691 Stockholm, Sweden.; Aurell, E; Del Ferraro, G; Dominguez, E; Mulet, R
刊名	PHYSICAL REVIEW E
	2017
卷号	95 期号:5 页码:52119
DOI	http://dx.doi.org/10.1103/PhysRevE.95.052119
英文摘要	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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22056]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Del Ferraro, G (reprint author), AlbaNova Univ Ctr, Dept Computat Biol, SE-10691 Stockholm, Sweden.
推荐引用方式 GB/T 7714	Del Ferraro, G ,Aurell, E,Del Ferraro, G,et al. Cavity master equation for the continuous time dynamics of discrete-spin models[J]. PHYSICAL REVIEW E,2017,95(5):52119.
APA	Del Ferraro, G ,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,95(5),52119.
MLA	Del Ferraro, G ,et al."Cavity master equation for the continuous time dynamics of discrete-spin models".PHYSICAL REVIEW E 95.5(2017):52119.