Partition function zeros of zeta-urns

Abstract

We discuss the distribution of partition function zeros for the grand-canonical ensemble of the zeta-urn model, where tuning a single parameter can give a first or any higher order condensation transition. We compute the locus of zeros for finite-size systems and test scaling relations describing the accumulation of zeros near the critical point against theoretical predictions for both the first and higher order transition regimes.

Keywords

• Lee-Yang and Fisher zeroes
• critical exponents
• first order phase transitions
• second order phase transitions