Orbits and phase transitions in the multifractal spectrum

DOI10.1088/0305-4470/34/1/301zbMath1046.82514arXivcond-mat/9905164OpenAlexW3104565108MaRDI QIDQ2716808

Thomas Nowotny, Ulrich Behn, H. Patzlaff

Publication date: 16 May 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9905164

zbMATH Keywords

periodic orbitssingularityinvariant measurerandom iterated function systempointwise dimension\(D_q\)-spectrumgeneralized box dimensionsgeneralized Rényi dimensionsoffshootsone-dimensional classical Ising modelsharp dropsymmetric dichotomous random field

Mathematics Subject Classification ID

Fractals (28A80) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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