Decision Making Times in Mean-Field Dynamic Ising Model

作者：Bakhtin Yuri^*

来源：Annales Henri Poincare, 2012, 13(5): 1291-1303.

DOI：10.1007/s00023-011-0148-6

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.

• 出版日期2012-7