A closure for the master equation starting from the dynamic cavity method

Abstract We consider classical spin systems evolving in continuous time with interactions given by a locally tree-like graph. Several approximate analysis methods have earlier been reported based on the idea of Belief Propagation / cavity method. introduce new such method which can be derived more systematic manner using theory Random Point Processes. Within this approach, master equation governing system’s dynamics is closed via set differential equations for auxiliary probabilities. The numerical results improve versions closure several important classes problems. re-visit here cases Ising ferromagnet and Viana–Bray spin-glass model.