Generalized mean field approximation for parallel dynamics of the Ising model

Hamed Mahmoudi, David Saad
2014 Journal of Statistical Mechanics: Theory and Experiment  
The dynamics of 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
more » ... ulations. The method is also employed to obtain parameter values for the kinetic inverse Ising modeling problem, where couplings and local fields values of a fully connected spin system are inferred from data.
doi:10.1088/1742-5468/2014/07/p07001 fatcat:7m3ztygdv5czjgmjbn42tin36a