Journal of Statistical Physics

, Volume 175, Issue 2, pp 456–494 | Cite as

Metastability of the Two-Dimensional Blume-Capel Model with Zero Chemical Potential and Small Magnetic Field on a Large Torus

  • C. Landim
  • P. Lemire
  • M. MourraguiEmail author


We consider the Blume-Capel model with zero chemical potential and small magnetic field in a two-dimensional torus whose length increases with the inverse of the temeprature. We prove the mestastable behavior and that starting from a configuration with only negative spins, the process visits the configuration with only 0-spins on its way to the ground state which is the configuration with all spins equal to \(+1\).



C. Landim has been partially supported by FAPERJ CNE E-26/201.207/2014 and by CNPq Bolsa de Produtividade em Pesquisa PQ 303538/2014-7. C. Landim and M. Mourragui have been partially supported by ANR-15-CE40-0020-01 LSD of the French National Research Agency.


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Authors and Affiliations

  1. 1.IMPARio de JaneiroBrazil
  2. 2.CNRS UMR 6085Université de RouenSaint-Étienne-du-RouvrayFrance

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