Phase transition strength through densities of general distributions of zeroes

W. Janke; D. A. Johnston; Ralph Kenna

doi:10.1016/j.nuclphysb.2004.01.028

Phase transition strength through densities of general distributions of zeroes

W. Janke, D. A. Johnston, Ralph Kenna

Coventry University

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Abstract

A recently developed technique for the determination of the density of partition function zeroes using data coming from finite-size systems is extended to deal with cases where the zeroes are not restricted to a curve in the complex plane and/or come in degenerate sets. The efficacy of the approach is demonstrated by application to a number of models for which these features are manifest and the zeroes are readily calculable. Publisher statement: NOTICE: This is the author’s version of a work that was accepted for publication in Nuclear Physics B. 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, [682, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.01.028 © 2004, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Original language	English
Pages (from-to)	618–634
Journal	Nuclear Physics B
Volume	682
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2004.01.028
Publication status	Published - 29 Mar 2004

Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/cond-mat/0401097
NOTICE: This is the author’s version of a work that was accepted for publication in Nuclear Physics B. 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, [682, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.01.028

© 2004, 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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10.1016/j.nuclphysb.2004.01.028

0401097v1

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title = "Phase transition strength through densities of general distributions of zeroes",

abstract = "A recently developed technique for the determination of the density of partition function zeroes using data coming from finite-size systems is extended to deal with cases where the zeroes are not restricted to a curve in the complex plane and/or come in degenerate sets. The efficacy of the approach is demonstrated by application to a number of models for which these features are manifest and the zeroes are readily calculable. Publisher statement: NOTICE: This is the author{\textquoteright}s version of a work that was accepted for publication in Nuclear Physics B. 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, [682, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.01.028 {\textcopyright} 2004, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/",

author = "W. Janke and Johnston, {D. A.} and Ralph Kenna",

note = "The full text is also available from: http://de.arxiv.org/abs/cond-mat/0401097 NOTICE: This is the author{\textquoteright}s version of a work that was accepted for publication in Nuclear Physics B. 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, [682, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.01.028 {\textcopyright} 2004, 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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AU - Kenna, Ralph

N1 - The full text is also available from: http://de.arxiv.org/abs/cond-mat/0401097 NOTICE: This is the author’s version of a work that was accepted for publication in Nuclear Physics B. 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, [682, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.01.028 © 2004, 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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N2 - A recently developed technique for the determination of the density of partition function zeroes using data coming from finite-size systems is extended to deal with cases where the zeroes are not restricted to a curve in the complex plane and/or come in degenerate sets. The efficacy of the approach is demonstrated by application to a number of models for which these features are manifest and the zeroes are readily calculable. Publisher statement: NOTICE: This is the author’s version of a work that was accepted for publication in Nuclear Physics B. 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, [682, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.01.028 © 2004, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

AB - A recently developed technique for the determination of the density of partition function zeroes using data coming from finite-size systems is extended to deal with cases where the zeroes are not restricted to a curve in the complex plane and/or come in degenerate sets. The efficacy of the approach is demonstrated by application to a number of models for which these features are manifest and the zeroes are readily calculable. Publisher statement: NOTICE: This is the author’s version of a work that was accepted for publication in Nuclear Physics B. 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, [682, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.01.028 © 2004, 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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DO - 10.1016/j.nuclphysb.2004.01.028

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SP - 618

EP - 634

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Phase transition strength through densities of general distributions of zeroes

Abstract

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