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cond-mat.dis-nn2001★ 8 cited
Phase diagram of the random field Ising model on the Bethe lattice
Thomas Nowotny, Heiko Patzlaff, Ulrich Behn
The phase diagram of the random field Ising model on the Bethe lattice with a symmetric dichotomous random field is closely investigated with respect to the transition between the…
cond-mat.dis-nn2001★ 1 cited
Convolution of multifractals and the local magnetization in a random field Ising chain
Thomas Nowotny, Ulrich Behn
The local magnetization in the one-dimensional random-field Ising model is essentially the sum of two effective fields with multifractal probability measure. The probability measur…
cond-mat.dis-nn1999★ 17 cited
Orbits and phase transitions in the multifractal spectrum
Thomas Nowotny, Heiko Patzlaff, Ulrich Behn
We consider the one dimensional classical Ising model in a symmetric dichotomous random field. The problem is reduced to a random iterated function system for an effective field. T…