Generalized mean field approximation for parallel dynamics of the Ising model

Hamed Mahmoudi, David Saad

Research output: Contribution to journalArticlepeer-review


The dynamics of the non-equilibrium Ising model with parallel updates is investigated using a generalized mean field approximation that incorporates multiple two-site correlations at any two time steps, which can be obtained recursively. The proposed method shows significant improvement in predicting local system properties compared to other mean field approximation techniques, particularly in systems with symmetric interactions. Results are also evaluated against those obtained from Monte Carlo simulations. The method is also employed to obtain parameter values for the kinetic inverse Ising modeling problem, where couplings and local field values of a fully connected spin system are inferred from data. © 2014 IOP Publishing Ltd and SISSA Medialab srl.

Original languageEnglish
Article numberP07001
Number of pages11
JournalJournal of Statistical Mechanics
Issue number7
Publication statusPublished - Jul 2014

Bibliographical note



  • cavity and replica method
  • disordered systems (theory)
  • spin glasses (theory)


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