Specific Heat Singularity in Two-Dimensional Random Ising Ferromagnets

D. Stauffer (), F. D. A. Aarão Reis, S. L. A. de Queiroz and R. R. dos Santos
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D. Stauffer: Institute for Theoretical Physics, Cologne University, 50923 Köln, Germany;
F. D. A. Aarão Reis: Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-340 Niterói RJ, Brazil
S. L. A. de Queiroz: Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-340 Niterói RJ, Brazil
R. R. dos Santos: Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-340 Niterói RJ, Brazil

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 06, 1209-1215

Abstract: We use transfer-matrix methods to calculate free energies and specific heats on long, finite-width strips of Ising spins with randomly distributed ferromagnetic couplings. By implementation of our code on a highly parallel computer, we have managed to generate high-quality data for strip widths up toL = 18sites. An unequivocal trend towards a divergency of the specific heat in the thermodynamic limit can be discerned. Finite-size data appear to behave halfway between a single-(lnL)and double-(lnlnL) logarithmic dependence on strip width. This is in line with a crossover within the Dotsenko-Shalaev picture of logarithmic corrections to pure-system singularities.

Keywords: Transfer Matrix; Logarithmic Effects; 05.50.+q; 05.70.Jk; 64.60.Fr; 75.10.Nr (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197001077

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