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Calculation of a characteristic fractal dimension in the one-dimensional random field ising model

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Zeitschrift für Physik B Condensed Matter

Abstract

By exploiting the connection with the problem of a repeller in a one dimensional map a new method is applied to calculate a fractal dimension characterising the local field. It is determined analytically in powers of the strength of the random field and also by an iteration procedure.

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Authors and Affiliations

  1. Institute for Solid State Physics, Eötvös Univerity, P.O. Box 327, H-1445, Budapest, Hungary

    P. Szépfalusy

  2. Central Research Institute for Physics, P.O.Box 49, H-1525, Budapest, Hungary

    P. Szépfalusy

  3. Sektion Physik, Karl-Marx-Universität Leipzig, Karl-Marx-Platz, GDR-7010, Leipzig, German Democratic Republic

    U. Behn

Authors
  1. P. Szépfalusy
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  2. U. Behn
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Szépfalusy, P., Behn, U. Calculation of a characteristic fractal dimension in the one-dimensional random field ising model. Z. Physik B - Condensed Matter 65, 337–339 (1987). https://doi.org/10.1007/BF01303720

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  • DOI: https://doi.org/10.1007/BF01303720

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