Metastability of the two-dimentional Blume-Capel model with zero chemical potential and small magnetic field on a large torus

Abstract

We consider the Blume-Capel model with zero chemical potential and small magnetic field in a two-dimensional torus whose length increaseswith 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.

References in corpus (2)

• Relaxation Height in Energy Landscapes: an Application to Multiple Metastable States
• Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions

Cited by in corpus (3)

• Metastability of Blume-Capel model with zero chemical potential and zero external field
• Generalized Dirichlet and Thomson Principles and Their Applications
• Full $\Gamma$-expansion of reversible Markov chains level two large deviations rate functionals