Scaling relations for logarithmic corrections

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

doi:10.1103/PhysRevLett.96.115701

Scaling relations for logarithmic corrections

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

Coventry University

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Abstract

Multiplicative logarithmic corrections to scaling are frequently encountered in the critical behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used to systematically analyze the exponents of such logarithms and to propose scaling relations between them. These proposed relations are then confronted with a variety of results from the literature.

Original language	English
Pages (from-to)	115701
Journal	Physical Review Letters
Volume	96
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.96.115701
Publication status	Published - 2006

Bibliographical note

Keywords

logarithmic corrections
scaling relations

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10.1103/PhysRevLett.96.115701

Scaling relations for logarithmic correctionsFinal published version, 144 KB

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title = "Scaling relations for logarithmic corrections",

abstract = "Multiplicative logarithmic corrections to scaling are frequently encountered in the critical behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used to systematically analyze the exponents of such logarithms and to propose scaling relations between them. These proposed relations are then confronted with a variety of results from the literature. ",

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AB - Multiplicative logarithmic corrections to scaling are frequently encountered in the critical behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used to systematically analyze the exponents of such logarithms and to propose scaling relations between them. These proposed relations are then confronted with a variety of results from the literature.

KW - logarithmic corrections

KW - scaling relations

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U2 - 10.1103/PhysRevLett.96.115701

DO - 10.1103/PhysRevLett.96.115701

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JO - Physical Review Letters

JF - Physical Review Letters

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Scaling relations for logarithmic corrections

Abstract

Bibliographical note

Keywords

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