Non-mean-field effects in systems with long-range forces in competition
Statistical Mechanics
2015-06-12 v1
Abstract
We investigate the canonical equilibrium of systems with long-range forces in competition. These forces create a modulation in the interaction potential and modulated phases appear at the system scale. The structure of these phases differentiate this system from monotonic potentials, where only the mean-field and disordered phases exist. With increasing temperature, the system switches from one ordered phase to another through a first-order phase transition. Both mean-field and modulated phases may be stable, even at zero temperature, and the long-range nature of the interaction will lead to metastability characterized by extremely long time scales.
Cite
@article{arxiv.1211.0848,
title = {Non-mean-field effects in systems with long-range forces in competition},
author = {Romain Bachelard and F. Staniscia},
journal= {arXiv preprint arXiv:1211.0848},
year = {2015}
}