Decision making times in mean-field dynamic Ising model

Details Decision making times in mean-field dynamic Ising model Decision making times in mean-field dynamic Ising model

2010-05-26

arxiv.org/abs/1005.4964v1

Mathematics

Probability

11 pages

Scientific paper

We consider a dynamic mean-field ferromagnetic model in the low-temperature regime in the neighborhood of the zero magnetization state. We study the random time it takes for the system to make a decision, i.e., to exit the neighborhood of the unstable equilibrium and approach one of the two stable equilibrium points. We prove a limit theorem for the distribution of this random time in the thermodynamic limit.

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