Density of partition function zeroes and phase transition strength

W. Janke, Ralph Kenna

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22 Citations (Scopus)

Abstract

A new method to extract the density of partition function zeroes (a continuous function) from their distribution for finite lattices (a discrete data set) is presented. This allows direct determination of the order and strength of phase transitions numerically. Furthermore, it enables efficient distinguishing between first and second order transitions, elucidates crossover between them and illuminates the origins of finite-size scaling. The efficacy of the technique is demonstrated by its application to a number of models in the case of Fisher zeroes and to the XY model in the case of Lee–Yang zeroes.
Original languageEnglish
Pages (from-to)443–446
JournalComputer Physics Communications
Volume147
Issue number1-2
DOIs
Publication statusPublished - 1 Aug 2002

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Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/cond-mat/0203210
NOTICE: this is the author’s version of a work that was accepted for publication in Computer Physics Communications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Physics Communications, [147, 1-2, 2002] DOI: 10.1016/S0010-4655(02)00323-5

© 2002, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial- NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

  • Density of partition function zeroes
  • Phase transitions
  • Finite-size scaling
  • Latent heat
  • Critical exponents

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