Cavity master equation for the continuous time dynamics of discrete-spin models
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2017-05-12
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Language
en
Pages
14
1-14
1-14
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PHYSICAL REVIEW E, Volume 95, issue 5
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.Description
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GLASS MODEL
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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 . https://doi.org/10.1103/PhysRevE.95.052119