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2008 | 113 | 4 | 1161-1169
Article title

Energy Spectrum for the System of N Ising Spins with Identical Spin-Spin Coupling K/N - Anatomy of Phase Transition

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Content
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Languages of publication
EN
Abstracts
EN
For the Kittel-Shore-Kac interspin coupling K/N between N Ising spins the ferromagnetic phase transition in specific heat vs. T plot has appeared in literature as a purely mathematical phenomenon, via the exact calculation of the sum of states Z(T) and subsequent differentiations with respect to temperature T. Physical nature of the transition remains in such derivation invisible. As it is expected to be related to the interaction/temperature competition in populating energy levels of the system, in this paper we construct the density of energy states D(E) (or energy spectrum) of such systems, both for the ferromagnetic (K>0) and antiferromagnetic (K<0) coupling between spins. This allows one to see the essence of the difference between these systems as related to the discrete vs. quasi-continuous shape of the spectra at low energy states.
Keywords
EN
Publisher

Year
Volume
113
Issue
4
Pages
1161-1169
Physical description
Dates
published
2008-04
received
2007-06-03
Contributors
author
  • Institute of Atomic Energy, Świerk, 05-400 Otwock, Poland
References
  • 1. C. Kittel, H. Shore, Phys. Rev. A 138, 1165 (1965)
  • 2. H. Al-Wahsh, M. Urban, A. Czachor, J. Magn. Magn. Mater. 185, 144 (1998)
  • 3. A.J. van der Sijs, Phys. Rev. B 48, 7125 (1993)
  • 4. M. Kac, in: Statistical Physics, Phase Transitions and Superfluidity, Eds. M. Chretien, E.P. Gross, S. Desser, Vol. 1, Gordon and Breach, New York 1968, p. 241
  • 5. L. Landau, E. Lifshitz, Statistical Physics, PWN, Warszawa 1959 (in Polish)
  • 6. R.H. Brout, in Ref. [4], p. 3
  • 7. G.H. Wannier, Elements of Solid State Physics, The University Press, Cambridge 1959
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv113n406kz
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