# Complex Systems

Listed on this page are current research projects being offered for the Vacation Scholarship Program.

For more information on this research group see: Complex Systems

## Partition function zeros and the Ising model in a field

(Also listed in Mathematical Physics & Statistical Mechanics, posted for 2014-2015)

The Ising model is one of the fundamental models of statistical physics. The sites of a lattice are occupied by spins pointing either up or down. Spins on nearest-neighbor sites interact so as to favour alignment and in addition an external magnetic field may by applied which favours say up-spins. Much is yet unknown about this model in a magnetic field. The aim is to study the properties of this models by studying the distribution of the partition function zeros. How does the distribution of zeros change with field, how does the zeros move and interact in the complex plane and is there some generic (perhaps universal) aspects to the dynamics of this movement?

**Contact:** Iwan Jensen I.Jensen@ms.unimelb.edu.au