Self-consistent scaling theory for logarithmic-correction exponents

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

Research output: Contribution to journalArticle

42 Citations (Scopus)
6 Downloads (Pure)

Abstract

Multiplicative logarithmic corrections frequently characterize critical behavior in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account for circumstances which often occur when the leading specific-heat critical exponent vanishes. Also, the theory is widened to encompass the correlation function. The new relations are then confronted with results from the literature, and some new predictions for logarithmic corrections in certain models are made.
Original languageEnglish
Pages (from-to)155702
JournalPhysical Review Letters
Volume97
Issue number15
DOIs
Publication statusPublished - 2006

Fingerprint

exponents
scaling
specific heat
physics
predictions

Bibliographical note

© 2006 American Physical Society

Keywords

  • Multiplicative logarithmic corrections
  • statistical physics

Cite this

Self-consistent scaling theory for logarithmic-correction exponents. / Kenna, Ralph; Johnston, D.A.; Janke, W.

In: Physical Review Letters, Vol. 97, No. 15, 2006, p. 155702.

Research output: Contribution to journalArticle

Kenna, Ralph ; Johnston, D.A. ; Janke, W. / Self-consistent scaling theory for logarithmic-correction exponents. In: Physical Review Letters. 2006 ; Vol. 97, No. 15. pp. 155702.
@article{c596ad599835466599ed7fd41863b36c,
title = "Self-consistent scaling theory for logarithmic-correction exponents",
abstract = "Multiplicative logarithmic corrections frequently characterize critical behavior in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account for circumstances which often occur when the leading specific-heat critical exponent vanishes. Also, the theory is widened to encompass the correlation function. The new relations are then confronted with results from the literature, and some new predictions for logarithmic corrections in certain models are made.",
keywords = "Multiplicative logarithmic corrections, statistical physics",
author = "Ralph Kenna and D.A. Johnston and W. Janke",
note = "{\circledC} 2006 American Physical Society",
year = "2006",
doi = "10.1103/PhysRevLett.97.155702",
language = "English",
volume = "97",
pages = "155702",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "15",

}

TY - JOUR

T1 - Self-consistent scaling theory for logarithmic-correction exponents

AU - Kenna, Ralph

AU - Johnston, D.A.

AU - Janke, W.

N1 - © 2006 American Physical Society

PY - 2006

Y1 - 2006

N2 - Multiplicative logarithmic corrections frequently characterize critical behavior in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account for circumstances which often occur when the leading specific-heat critical exponent vanishes. Also, the theory is widened to encompass the correlation function. The new relations are then confronted with results from the literature, and some new predictions for logarithmic corrections in certain models are made.

AB - Multiplicative logarithmic corrections frequently characterize critical behavior in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account for circumstances which often occur when the leading specific-heat critical exponent vanishes. Also, the theory is widened to encompass the correlation function. The new relations are then confronted with results from the literature, and some new predictions for logarithmic corrections in certain models are made.

KW - Multiplicative logarithmic corrections

KW - statistical physics

U2 - 10.1103/PhysRevLett.97.155702

DO - 10.1103/PhysRevLett.97.155702

M3 - Article

VL - 97

SP - 155702

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 15

ER -