The Ground State of Ising Model±J on the Tube

• Authors: Marian Błaszyk
• Languages of publication: 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

05.50.+q; 75.10.Nr; 75.50.Lk

Discipline

• 75.10.Nr: Spin-glass and other random models(for spin glasses and other random magnets, see 75.50.Lk)
• 75.50.Lk: Spin glasses and other random magnets
• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)

• Journal: Acta Physica Polonica A
• Year: 2003
• Volume: 104
• Issue: 1
• Pages: 3-24

Dates

published

2003-07

received

2003-05-14

Contributors

author

Marian Błaszyk

• 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

Identifiers

DOI

10.12693/APhysPolA.104.3