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Decision Making Times in Mean-Field Dynamic Ising Model (2011)

Springer

In: Annales Henri Poincare

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Publication Date: 2011-12-05

Description: 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. Content Type Journal Article Pages 1-13 DOI 10.1007/s00023-011-0148-6 Authors Yuri Bakhtin, School of Mathematics, Georgia Tech, Atlanta, GA 30332-0160, USA Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637

Print ISSN: 1424-0637

Electronic ISSN: 1424-0661

Topics: Mathematics , Physics

Published by Springer

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