Rhythmic behavior of an Ising Model with dissipation at low temperature
Probability
2020-02-20 v1
Abstract
In this paper we consider the Glauber dynamics for the one-dimensional Ising model with dissipation, in a mesoscopic regime obtained by letting inverse temperature and volume go to infinity with a suitable scaling. In this limit the magnetization has a periodic behavior. Self-organized collective periodicity has been shown for many mean-field models but, to our knowledge, this is the first example with short-range interaction. This supports the view that self-organized periodicity is not linked with the mean-field assumption but it is a thermodynamic phenomenon compatible with short range interactions.
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Cite
@article{arxiv.2002.08244,
title = {Rhythmic behavior of an Ising Model with dissipation at low temperature},
author = {Raphael Cerf and Paolo Dai Pra and Marco Formentin and Daniele Tovazzi},
journal= {arXiv preprint arXiv:2002.08244},
year = {2020}
}
Comments
28 pages