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One-dimensional random field Ising model and discrete stochastic mappings

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Abstract

Previous results relating the one-dimensional random field Ising model to a discrete stochastic mapping are generalized to a two-valued correlated random (Markovian) field and to the case of zero temperature. The fractal dimension of the support of the invariant measure is calculated in a simple approximation and its dependence on the physical parameters is discussed.

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Authors and Affiliations

  1. Karl-Marx-Platz, Sektion Physik der Karl-Marx-Universität Leipzig, 7010, Leipzig, German Democratic Republic

    U. Behn

  2. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, USSR

    V. A. Zagrebnov

Authors
  1. U. Behn
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  2. V. A. Zagrebnov
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Additional information

Contribution to the symposium “Statistical Mechanics of Phase Transitions—Mathematical and Physical Aspects,” Treboň, CSSR, September 1–6, 1986.

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Behn, U., Zagrebnov, V.A. One-dimensional random field Ising model and discrete stochastic mappings. J Stat Phys 47, 939–946 (1987). https://doi.org/10.1007/BF01206167

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  • DOI: https://doi.org/10.1007/BF01206167

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