The Ground State of Ising Model ±J on the Tube
Marian Błaszyk
Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
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Received: May 14, 2003
A method of linear equations is proposed allowing a reduction of a physical problem of determination of energy, entropy, or magnetisation for the systems with frozen disorder to a mathematical problem of solving a set of linear equations. Apart from an exact method for determination of energy and entropy, a type of the mean field approach is presented, which permits a summation over series representing entropy. Moreover, it was established that magnetisation can appear only when the antiferromagnetic integrals occur at the zero probability.
DOI: 10.12693/APhysPolA.104.3
PACS numbers: 05.50.+q, 75.10.Nr, 75.50.Lk