One-dimensional random field Ising model and discrete stochastic mappings |
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| Authors: | U. Behn V. A. Zagrebnov |
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| Affiliation: | (1) Karl-Marx-Platz, Sektion Physik der Karl-Marx-Universität Leipzig, 7010 Leipzig, German Democratic Republic;(2) Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, USSR |
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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.Contribution to the symposium  Statistical Mechanics of Phase Transitions—Mathematical and Physical Aspects, Trebo , CSSR, September 1–6, 1986. |
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| Keywords: | Random field Ising model stochastic mapping Markov chains invariant measure fractal dimension |
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