Improved mean-field theory for parallel dynamics of asymmetric kinetic Ising systems
by
Haiping Huang(Tokyo Institute of Technology)
→
Europe/Stockholm
Description
In this talk, the parallel dynamics of asymmetric kinetic Ising systems is studied. The existing mean-field description assumes fully-asymmetric couplings[M. Mezard and J. Sakellariou, J. Stat. Mech., L07001 (2011)], whereas, for a general system with connection correlation, this description breaks down. To improve this description, we develop an improved mean-field theory for instantaneous magnetization prediction to properly treat the memory effects induced by the connection correlation. The theory utilizes the notion of the cavity system in conjunction with a perturbative expansion approach. Its efficiency is supported by comparison of both mean-field methods in numerical simulations of single instances.
