Nucleation for one-dimensional long-range Ising models
Statistical Mechanics
2019-03-27 v1
Abstract
In this note we study metastability phenomena for a class of long-range Ising models in one-dimension. We prove that, under suitable general conditions, the configuration -1 is the only metastable state and we estimate the mean exit time. Moreover, we illustrate the theory with two examples (exponentially and polynomially decaying interaction) and we show that the critical droplet can be macroscopic or mesoscopic, according to the value of the external magnetic field.
Cite
@article{arxiv.1809.02243,
title = {Nucleation for one-dimensional long-range Ising models},
author = {Aenout C. D. van Enter and Bruno Kimura and Wioletta Ruszel and Cristian Spitoni},
journal= {arXiv preprint arXiv:1809.02243},
year = {2019}
}
Comments
15 pages, 3 figures