TY - JOUR
T1 - Decision Making Times in Mean-Field Dynamic Ising Model
AU - Bakhtin, Yuri
N1 - Funding Information:
The author is grateful to Mark Meckes for pointing to some literature on merging of probability measures. The support from National Science Foundation through CAREER grant DMS-0742424 is gratefully acknowledged.
PY - 2012/7
Y1 - 2012/7
N2 - 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.
AB - 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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U2 - 10.1007/s00023-011-0148-6
DO - 10.1007/s00023-011-0148-6
M3 - Article
AN - SCOPUS:84862139889
SN - 1424-0637
VL - 13
SP - 1291
EP - 1303
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 5
ER -