
CRITICAL BEHAVIOUR OF FRUSTRATED WALKS ON THE SQUARE LATTICEDamien Foster (Personal webpage)School of Computing, Electronics and Mathematics, Coventry University
In this talk I will present a range of 2D lattice models for polymers in dilute solution which do not display the Universality properties one might naively expect. I will argue that this is due to frustration effects with the underlying lattice. After initially reviewing the standard model for polymers in solution (the Theta point model) I will proceed to introduce the transfer matrix method and its extensions (CTMRG and DMRG) to deal with these methods. I will discuss the critical behaviour observed and some outstanding questions. I will finish the talk by discussing the use of growth Monte Carlo methods to look at the hightemperature series expansions for these models, and investigate the behaviour of the partition function zeros. The details of evaporationdriven selfassembly and stratification of the sticks in the vertical direction are discussed. 