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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 3 (1998) pp 771-780
Singularity of the specific heat of two-dimensional random Ising models
M. Inoue (a)
Faculty of Science and Engineering, Tokyo Denki University, Hatoyama, Saitama, 350-03, Japan
Received: 26 February 1998 / Revised: 15 May 1998 / Accepted: 25 June 1998
Abstract: The singularity of the specific heat is studied for the dilution (J>J'>0) type and Gaussian type random Ising models using the Pfaffian method numerically. The type of singularity at the paramagnetic-ferromagnetic phase boundary is studied using the standard regression method using data up to $600 \times 601$ system size. It is shown that the logarithmic type singularity is more reliable than the double-logarithmic type and cusp type singularities. The critical temperatures are estimated accurately for both the dilution type and Gaussian type random Ising models. A phase diagram relating strength of the randomness and temperature is also presented.
PACS. 05.70.Jk Critical point phenomena - 64.60.Fr Equilibrium properties near critical points, critical exponents - 75.10.Nr Spin-glass and other random models
(a) email: inoue@u.dendai.ac.jp
Article in PDF format (717 KB)
Online publication: October 26, 1998
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