A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model

L. N. Shchur; B. Berche; P. Butera

doi:10.1209/0295-5075/81/30008

All issues

Volume 81 / No 3 (February 2008)

EPL, 81 3 (2008) 30008

Abstract

Issue		EPL Volume 81, Number 3, February 2008


Article Number		30008
Number of page(s)		6
Section		General
DOI		https://doi.org/10.1209/0295-5075/81/30008
Published online		03 January 2008

EPL, 81 (2008) 30008

A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model

L. N. Shchur¹^,2, B. Berche² and P. Butera³

¹ Landau Institute for Theoretical Physics, Russian Academy of Sciences - Chernogolovka 142432, Russia
² Laboratoire de Physique des Matériaux, UMR CNRS 7556, Université Henri Poincaré, Nancy 1 B.P. 239, F-54506 Vandœuvre les Nancy Cedex, France
³ Istituto Nazionale di Fisica Nucleare, Sezione di Milano-Bicocca - Piazza delle Scienze 3, 20126, Milano, Italia

Received: 16 July 2007
Accepted: 4 December 2007

Abstract

Monte Carlo (MC) and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the two-dimensional 4-state Potts model in the vicinity of the critical point are analysed. The role of logarithmic corrections is discussed and an approach is proposed in order to account numerically for these corrections in the determination of critical amplitudes. Accurate estimates of universal amplitude ratios $A_{+}/A_{-}$ , $\Gamma _{+}/\Gamma _{-}$ , $\Gamma _{T}/\Gamma _{-}$ and $R_{C}^{\pm}$ are given, which arouse new questions with respect to previous works.

PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 75.10.-b – General theory and models of magnetic ordering

© EPLA, 2008

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