Lee-Yang and Fishers zeros in Adsorbing Self-Avoiding Walks

Speaker: Dr. EJ Janse van Rensburg

Affiliation: York University

Partition function or Fisher zeros play a fundamental role in the theory of phase transitions in
classical lattice statistical mechanics.  In this talk some results on the properties of partition and
generating function zeros in a model of an adsorbing self-avoiding walk are presented.  I will
show how to approximately enumerate self-avoiding walks and show numerical results on
partition and generating function zeros. Theorems constraining the distribution of  zeros in the
complex plane, based on the distribution of polynomial zeros, will also be discussed.  These
results show that partition function zeros are constrained to be located in annular regions with
center at the origin in the complex plane.  Results on the angular distribution of zeros will also
be presented.