Decision Making Times in Mean-Field Dynamic Ising Model

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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.

Original languageEnglish (US)
Pages (from-to)1291-1303
Number of pages13
JournalAnnales Henri Poincare
Issue number5
StatePublished - Jul 2012

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics


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