A Fully Magnetizing Phase Transition
Pierluigi Contucci, Peter Kleban, Andreas Knauf
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 Tc=1/2, the magnetization jumps from zero to one.
Create a lesson
Related papers
Unifying spherical convolutions through lifting
J. D. McEwen
Perturbed isotropic oscillators with inversion symmetry
Antonella Marchesiello, Rita Mastroianni, Giuseppe Pucacco
Critical Ising model as the M(4,3) minimal model of conformal field theory
Dmitry Chelkak, Konstantin Izyurov, Kalle Kytölä
A Sklar-Type Decomposition for Positive Binary Distributions and a Gibbs Interpretation
Yi-Yu Lin
Lieb-Robinson bounds for irreversible dynamics via adaptive Dyson expansion
Carla Rubiliani, Marius Wesle, Tom Wessel
An elementary approach to the Szegő theorems
Israel Klich, Ravisankar Rajagopal