A Fully Magnetizing Phase Transition
Mathematical Physics
2015-06-26 v1 Condensed Matter
math.MP
Number Theory
Abstract
We analyze the Farey spin chain, a one dimensional spin system with effective interaction decaying like the squared inverse distance. Using a polymer model technique, we show that when the temperature is decreased below the (single) critical temperature T_c=1/2, the magnetization jumps from zero to one.
Cite
@article{arxiv.math-ph/9811020,
title = {A Fully Magnetizing Phase Transition},
author = {Pierluigi Contucci and Peter Kleban and Andreas Knauf},
journal= {arXiv preprint arXiv:math-ph/9811020},
year = {2015}
}
Comments
19 pages