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Static and dynamic properties of short range Ising spin glasses

  • II. Spin Glasses and Frustration
  • Conference paper
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Static Critical Phenomena in Inhomogeneous Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 206))

Abstract

Let us now draw some conclusions for the two-dimensional Ising model with short range random interactions and a relaxational dynamics:

  1. -

    The model describes experiments qualitatively

  2. -

    It has no static transition

  3. -

    Nevertheless in the field H, temperature T and observation time t diagram, Fig. 6, there is a rather well defined surface below which spin glass behaviour is observed. This surface is rather singular, since one finds Tf(H=0,t)∼(ℓnt)−1/2 and Tf(H,t)−Tf(0,t) ∼H2/3

  4. -

    Below Tf(H,t) the spins freeze into small completely frozen clusters, the rest seems to remain in thermal equilibrium

  5. -

    The freezing process can be described by a dynamics of small decoupled clusters

  6. -

    The model even reproduces recent experiments which favour a static phase transition

  7. -

    Only at T=0 one has a phase transition with scaling laws

  8. -

    Also experimental data are not inconsistent with T=0 scaling

  9. -

    The low lying metastable states do not have the structure of the mean field states

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Authors and Affiliations

  1. Institut für Festkörperforschung der KFA Jülich, Postfach 1913, D-5170, Jülich, Germany

    Wolfgang Kinzel

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  1. Wolfgang Kinzel
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A. Pękalski J. Sznajd

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© 1984 Springer-Verlag

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Kinzel, W. (1984). Static and dynamic properties of short range Ising spin glasses. In: Pękalski, A., Sznajd, J. (eds) Static Critical Phenomena in Inhomogeneous Systems. Lecture Notes in Physics, vol 206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13389-0_7

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  • DOI: https://doi.org/10.1007/3-540-13389-0_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13369-8

  • Online ISBN: 978-3-540-38925-5

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