School Seminars and Colloquia

The Farey fraction spin chain in an external field

Statistical Mechanics/Combinatorics Seminar
Joint MASCOS/COSNET seminar

by Thomas Prellberg

Institution: School of Mathematical Sciences, Queen Mary, University of London
Date: Thu 13th September 2007
Time: 3:15 PM
Location: Room 213, Richard Berry Building, University of Melbourne

Abstract: The Farey fraction spin chain is one example of a set of closely related
one--dimensional models which are of interest in both statistical mechanics and number theory. For zero field, this spin chain exhibits a phase transition that is rather unusual as it lies on the border between first- and second-order. Utilising ideas from dynamical systems, the free energy of the model can be computed rigorously.

For More Information: Dr Iwan Jensen