Self-Consistent Scaling Theory for Logarithmic Correction Exponents

Abstract

Multiplicative logarithmic corrections frequently characterize critical behaviour 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.

4 pages, to appear in Phys.Rev.Lett

References in corpus (1)

• Scaling Relations for Logarithmic Corrections

Cited by in corpus (5)

• Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models
• Scaling Analysis of the Site-Diluted Ising Model in Two Dimensions
• Quenched bond randomness in marginal and non-marginal Ising spin models in 2D
• Absence of logarithmic scaling in the ageing behaviour of the 4D spherical model
• Fisher Renormalization for Logarithmic Corrections