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

E. Aurell, Gino Del Ferraro, E. Dominguez, R. Mulet

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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.

Original languageEnglish
Article number052119
Pages (from-to)1-14
Number of pages14
JournalPhysical Review E
Issue number5
Publication statusPublished - 12 May 2017
MoE publication typeA1 Journal article-refereed



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