Phase transition strengths from the density of partition function zeroes

W. Janke; Ralph Kenna

doi:10.1016/S0920-5632(01)01881-3

Phase transition strengths from the density of partition function zeroes

W. Janke, Ralph Kenna

Coventry University

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Abstract

We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. 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 power of the method is illustrated in typical applications for both Fisher and Lee-Yang zeroes.

Original language	English
Pages (from-to)	905-907
Journal	Nuclear Physics B - Proceedings Supplements
Volume	106-107
DOIs	https://doi.org/10.1016/S0920-5632(01)01881-3
Publication status	Published - Mar 2002

Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/hep-lat/0112032
NOTICE: this is the author’s version of a work that was accepted for publication in Nuclear Physics B - Proceedings Supplements. 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 Nuclear Physics B - Proceedings Supplements, [106-107, 2002] DOI: 10.1016/S0920-5632(01)01881-3

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

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0112032v1

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title = "Phase transition strengths from the density of partition function zeroes",

abstract = "We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. 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 power of the method is illustrated in typical applications for both Fisher and Lee-Yang zeroes. ",

author = "W. Janke and Ralph Kenna",

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year = "2002",

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doi = "10.1016/S0920-5632(01)01881-3",

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AB - We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. 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 power of the method is illustrated in typical applications for both Fisher and Lee-Yang zeroes.

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SP - 905

EP - 907

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -

Phase transition strengths from the density of partition function zeroes

Abstract

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