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Calculation of a characteristic fractal dimension in the one-dimensional random field ising model
Authors:P. Szépfalusy  U. Behn
Affiliation:(1) Institute for Solid State Physics, Eötvös Univerity, P.O. Box 327, H-1445 Budapest, Hungary;(2) Central Research Institute for Physics, P.O.Box 49, H-1525 Budapest, Hungary;(3) Sektion Physik, Karl-Marx-Universität Leipzig, Karl-Marx-Platz, GDR-7010 Leipzig, German Democratic Republic
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.
Keywords:
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