MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

A fully magnetizing phase transition

Pierluigi Contucci, Peter Klebau and Andreas Knauf


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.


Related publications

1999 Repository Open Access
Pierluigi Contucci, Peter Kleban and Andreas Knauf

A fully magnetizing phase transition

In: Journal of statistical physics, 97 (1999) 3-4, pp. 523-539