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Relaxation in the Random Energy Model

  • G. J. M. Koper
Part of the NATO ASI Series book series (volume 167)

Abstract

Derrida’s [1] random energy model (REM) is defined as a system of a large number, N, of energy levels that are independent random variables drawn from a Gaussian probability distribution. The model exhibits a critical temperature below which the free energy becomes a constant and the entropy vanishes. This indicates a completely frozen phase and is reminiscent of a spin glass phase in magnetic systems with random competing interactions [2].

Keywords

Critical Temperature Transition Rate Independent Random Variable Detailed Balance Condition Exponential Relaxation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    B. Derrida, Phys. Rev. Lett. 45, 79 (1980)MathSciNetADSCrossRefGoogle Scholar
  2. B. Derrida, Phys. Rev. B24, 2613 (1981).MathSciNetADSGoogle Scholar
  3. [2]
    K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986).ADSCrossRefGoogle Scholar
  4. [3]
    M. Mézard, G. Parisi, N. Sourlas, G. Toulouse and M. Virasoro, Phys. Rev. Lett. 52, 1146 (1984)CrossRefGoogle Scholar
  5. M. Mézard, G. Parisi, N. Sourlas, G. Toulouse and M. Virasoro, J. Physique 45, 843 (1984).MathSciNetGoogle Scholar
  6. [4]
    C. De Dominicis, H. Orland, and F. Lainée, J. Phys. (Paris) Lett. 46, L463 (1985).CrossRefGoogle Scholar
  7. [5]
    G.J.M. Koper and H.J. Hilhorst, to be published.Google Scholar
  8. [6]
    G.J.M. Koper and H.J. Hilhorst, to appear in Europhys. Lett.Google Scholar
  9. [7]
    R. Hoogerbeets, Wei-Li Luo and R. Orbach, Phys. Rev. Lett. 55, 111 (1985)ADSCrossRefGoogle Scholar
  10. R. Hoogerbeets, Wei-Li Luo and R. Orbach, Phys. Rev. B33, 6531 (1986)ADSGoogle Scholar
  11. R. Hoogerbeets, Wei-Li Luo and R. Orbach, Phys. Rev. B34, 1719 (1986).ADSGoogle Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • G. J. M. Koper
    • 1
  1. 1.Instituut-LorentzLeidenThe Netherlands

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