Partition Function Zeroes
- Event time: 11:30am
- Event date: 26th May 2010
- Speaker: Desmond Johnston (University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
The study of phase transitions is central to statistical mechanics. Of primary interest is the determination of the location, the order and the strength of the transitions. Going from finite sized systems, as in lattice simulations, to the thermodynamic limit using finite size scaling is a well established way of estimating critical exponents and temperatures. An alternative approach, pioneered by Lee and Yang for field-driven transitions and Fisher for temperature-driven transitions, is to consider the partition function of a finite system as a polynomial and study the properties of its zeroes as the system size is increased. In the talk we look at such ''partition function zeroes'' and discuss their advantages and disadvantages for studying phase transitions.
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..