Comparison of Properties of One-Dimensional ± J Ising Models on Square Lattices

• Authors: M. Błaszyk
• Languages of publication: EN

Abstracts

EN

The energies and entropies of the one-dimensional ± J Ising models on square lattices have been compared. The method proposed in this paper explains the impossibility of getting exact results in nonzero temperatures and specifies the conditions of error minimisation.

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)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 5
• Pages: 849-853

Dates

published

2009-05

received

2008-03-10

(unknown)

2008-11-15

Contributors

author

M. Błaszyk

• Institute of Physics, A. Mickiewicz University, Umultowska 8561-614 Poznań, Poland

References

• 1. K. Binder, A.P. Young, Rev. Mod. Phys. 58, 4630 (1986)
• 2. M. Błaszyk, Acta Phys. Pol. A 104, 3 (2003)
• 3. H.G. Katzgraber, M. Körner, F. Liers, M. Jünger, A.K. Hartmann, Phys. Rev. B 72, 094421 (2005)
• 4. M. Błaszyk, Acta. Phys. Pol. A 111, 191 (2007)

Identifiers

DOI

10.12693/APhysPolA.115.849