Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 19: Finite size effects at phase transitions I (session accompanying the symposium of the same name)
DY 19.5: Talk
Tuesday, March 27, 2007, 18:00–18:15, H2
Scaling Theory for Logarithmic-Correction Exponents — •Ralph Kenna1, Des Johnston2, and Wolfhard Janke3 — 1Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, England — 2Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Riccarton, Edinburgh, EH144AS, Scotland — 3Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ),, Universität Leipzig, Augustus Platz 10/11, 04109 Leipzig, Germany
Multiplicative logarithmic corrections frequently characterize critical behaviour in statistical physics. Here it is shown that the various exponents of such corrections are interrelated just as the exponents characterizing leading scaling behaviour are. A new set of scaling relations for these logarithmic-correction exponents are proposed. These relations are then confronted with results from the literature and new predictions for logarithmic corrections in certain models are made.