2017/05/19 by Kaveh Bashiri, Bashiri, Kaveh
Mathematics · Physics and Astronomy · #60C05 #60J27 #60K35 #82C27 #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1705.07012
openalex publication_date 2017/05/19 · openalex created_date 2017/06/05 · openalex updated_date 2026/07/28
We consider three extensions of the standard 2D Ising model with Glauber dynamics on a finite torus at low temperature. The first model is an anisotropic version, where the interaction energy takes different values on vertical and on horizontal bonds. The second model adds next-nearest-neighbor attraction to the standard Ising model. And the third model associates different alternating signs for the magnetic fields on even and odd rows. All these models have already been studied, and results concerning metastability have been established using the so-called pathwise approach. In this text, we extend these earlier results, and apply the potential-theoretic approach to metastability to obtain more precise asymptotic information on the transition time from the metastable phase to the stable phase.