Title: Partition function zeros of zeta-urns
Author(s):

	P. Bialas (Institute of Applied Computer Science, Jagiellonian University, ul. Lojasiewicza 11, 30-348 Kraków, Poland),
	Z. Burda (AGH University of Krakow, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, 30-059 Kraków, Poland),
	D. A. Johnston (School of Mathematical and Computer Sciences, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, UK)

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.

Key words: Lee-Yang and Fisher zeroes, critical exponents, first order phase transitions, second order phase transitions

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