Metastability for the Ising model on the hexagonal lattice

  title={Metastability for the Ising model on the hexagonal lattice},
  author={Valentina Apollonio and Vanessa Jacquier and Francesca R. Nardi and Alessio Troiani},
  journal={Electronic Journal of Probability},
We consider the Ising model on the hexagonal lattice evolving according to Metropolis dynamics. We study its metastable behavior in the limit of vanishing temperature when the system is immersed in a small external magnetic field. We determine the asymptotic properties of the transition time from the metastable to the stable state up to a multiplicative factor and study the mixing time and the spectral gap of the Markov process. We give a geometrical description of the critical configurations… 

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