Partition Function Zeros of Zeta-Urns

Piotr Bialas; Zdzisław Burda; Desmond Alexander Johnston

doi:10.5488/cmp.27.33601

Partition Function Zeros of Zeta-Urns

Piotr Bialas, Zdzisław Burda, Desmond Alexander Johnston^*

^*Corresponding author for this work

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2 Citations (Scopus)

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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.

Original language	English
Article number	33601
Journal	Condensed Matter Physics
Volume	27
Issue number	3
DOIs	https://doi.org/10.5488/cmp.27.33601
Publication status	Published - 24 Sept 2024

Keywords

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

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10.5488/cmp.27.33601Licence: CC BY

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title = "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",

author = "Piotr Bialas and Zdzis{\l}aw Burda and Johnston, \{Desmond Alexander\}",

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AU - Burda, Zdzisław

AU - Johnston, Desmond Alexander

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Y1 - 2024/9/24

N2 - 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.

AB - 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.

KW - Lee-Yang and Fisher zeroes

KW - critical exponents

KW - first order phase transitions

KW - second order phase transitions

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DO - 10.5488/cmp.27.33601

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VL - 27

JO - Condensed Matter Physics

JF - Condensed Matter Physics

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Partition Function Zeros of Zeta-Urns

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