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2003 | 104 | 1 | 3-24
Article title

The Ground State of Ising Model±J on the Tube

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EN
Abstracts
EN
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.
Keywords
EN
Contributors
  • Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
References
  • 1. M. Błaszyk, Phys. Status Solidi B, 236, 478, 2003
  • 2. A.K. Hartmann, Phys. Rev. B, 59, 3617, 1999
  • 3. B. Derrida, J. Vannimenus, Y. Pomeau, J. Phys. C, Solid State Phys., 11, 4749, 1978
  • 4. C. Dress, E. Amic, J.M. Luck, J. Phys. A, Math. Gen., 28, 135, 1995
  • 5. G. Toulouse, Commun. Phys., 2, 115, 1977
  • 6. S. Kirkpatrick, Phys. Rev. B, 16, 4630, 1977
  • 7. B. Derrida, J. Vannimenus, Phys. Rev. B, 27, 4401, 1983
  • 8. B.G.S. Doman, J. Phys. C, 15, 5641, 1982
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv104n106kz
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