Critical exponents from general distributions of zeroes

W. Janke; D. Johnston; Ralph Kenna

doi:10.1016/j.cpc.2005.03.101

Critical exponents from general distributions of zeroes

W. Janke, D. Johnston, Ralph Kenna

School of Computing, Electronics and Maths

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Abstract

All of the thermodynamic information on a statistical mechanical system is encoded in the locus and density of its partition function zeroes. Recently, a new technique was developed which enables the extraction of the latter using finite-size data of the type typically garnered from a computational approach. Here that method is extended to deal with more general cases. Other critical points of a type which appear in many models are also studied.

Original language	English
Pages (from-to)	457–461
Journal	Computer Physics Communications
Volume	169
Issue number	1-3
DOIs	https://doi.org/10.1016/j.cpc.2005.03.101
Publication status	Published - 1 Jul 2005

Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/cond-mat/0601351
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, [169, 1-3, 2005] DOI: 10.1016/j.cpc.2005.03.101.

© 2005, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

Phase transitions
Finite-size scaling
Partition function zeroes

Access to Document

10.1016/j.cpc.2005.03.101

0601351v1

Cite this

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title = "Critical exponents from general distributions of zeroes",

abstract = "All of the thermodynamic information on a statistical mechanical system is encoded in the locus and density of its partition function zeroes. Recently, a new technique was developed which enables the extraction of the latter using finite-size data of the type typically garnered from a computational approach. Here that method is extended to deal with more general cases. Other critical points of a type which appear in many models are also studied. ",

keywords = "Phase transitions, Finite-size scaling, Partition function zeroes",

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

note = "The full text is also available from: http://de.arxiv.org/abs/cond-mat/0601351 NOTICE: this is the author{\textquoteright}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, [169, 1-3, 2005] DOI: 10.1016/j.cpc.2005.03.101. {\textcopyright} 2005, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/",

year = "2005",

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doi = "10.1016/j.cpc.2005.03.101",

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journal = "Computer Physics Communications",

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AU - Janke, W.

AU - Johnston, D.

AU - Kenna, Ralph

N1 - The full text is also available from: http://de.arxiv.org/abs/cond-mat/0601351 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, [169, 1-3, 2005] DOI: 10.1016/j.cpc.2005.03.101. © 2005, 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 - All of the thermodynamic information on a statistical mechanical system is encoded in the locus and density of its partition function zeroes. Recently, a new technique was developed which enables the extraction of the latter using finite-size data of the type typically garnered from a computational approach. Here that method is extended to deal with more general cases. Other critical points of a type which appear in many models are also studied.

AB - All of the thermodynamic information on a statistical mechanical system is encoded in the locus and density of its partition function zeroes. Recently, a new technique was developed which enables the extraction of the latter using finite-size data of the type typically garnered from a computational approach. Here that method is extended to deal with more general cases. Other critical points of a type which appear in many models are also studied.

KW - Phase transitions

KW - Finite-size scaling

KW - Partition function zeroes

U2 - 10.1016/j.cpc.2005.03.101

DO - 10.1016/j.cpc.2005.03.101

M3 - Article

VL - 169

SP - 457

EP - 461

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

IS - 1-3

ER -

Critical exponents from general distributions of zeroes

Abstract

Bibliographical note

Keywords

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