Yang-Lee zeros for real-space condensation

Zdzisław Burda, Desmond A. Johnston*, Mario Kieburg

*Corresponding author for this work

Research output: Contribution to journalLetterpeer-review

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Abstract

Using the electrostatic analogy, we derive an for the limiting Yang-Lee zero distribution in the random allocation model of general weights. This exhibits a real-space condensation phase transition, which is induced by a pressure change. The exact solution allows one to read off the scaling of the density of zeros at the critical point and the angle at which the locus of zeros hits the critical point. Since the order of the phase transition and critical exponents can be tuned with a single parameter for several families of weights, the model provides a useful testing ground for verifying various relations between the distribution of zeros and the critical behavior, as well as for exploring the behavior of physical quantities in the mesoscopic regime, i.e., systems of large but finite size. The main result is that asymptotically the Yang-Lee zeros are images of a conformal mapping, given by the generating function for the weights, of uniformly distributed complex phases.
Original languageEnglish
Article numberL012101
JournalPhysical Review E
Volume111
Issue number1
DOIs
Publication statusPublished - 6 Jan 2025

Keywords

  • cond-mat.stat-mech
  • math-ph
  • math.MP

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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