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High-temperature series analysis of the free energy and susceptibility of the 2D random-bond Ising model by Alexandra Roder; Joan Adler; Wolfhard Janke is a Physics and Astronomy article available to read on EtoBox.

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We derive high-temperature series expansions for the free energy and susceptibility of the two-dimensional random-bond Ising model with a symmetric bimodal distribution of two positive coupling strengths J1 and J2 and study the in uence of the quenched, random bond-disorder on the critical behavior of the model. By analysing the series expansions over a wide range of coupling ratios J2=J1, covering the crossover from weak to strong disorder, we obtain for the susceptibility with two di erent methods compelling evidence for a singularity of the form ∼ t -7=4 |ln t| 7=8 , as predicted theoretically by Shalaev, Shankar, and Ludwig. For the speciÿc heat our results are less convincing, but still compatible with the theoretically predicted log-log singularity.

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Author

Alexandra Roder; Joan Adler; Wolfhard Janke

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0378-4371)

Published

1999

Language

EN

Field

Physics and Astronomy (Physical Sciences)