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Physica A Statistical Mechanics and its Applications

Finite-size calculations on the three-dimensional Ising model

Henk W. J. Blöte, G. Kamieniarz

Published Jun 1, 1993• 22 citations
Publisher
DOI
10.1016/0378-4371(93)90208-l

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The transfer matrices for the ferromagnetic Ising model on the two- and three-dimensional lattices with finite size are formulated using the screw method introduced by Kramers and Wannier, and the largest and next largest eigenvalues of matrices are obtained by a computer. Then the specific heats and magnetic susceptibilities are calculated for each system with various sizes. By use of the finite-size scaling and Roomany-Wyld approximations, the critical exponents of the infinite-size systems are evaluated. They are in quite good agreement with the reliable ones.