Metastability for the Ising model on the hexagonal lattice

@article{Apollonio2021MetastabilityFT,
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},
year={2021}
}
• Published 28 January 2021
• Mathematics
• 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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