Abstract
We investigate the superposition of multifractals in the generalized thermodynamic formalism. It is shown analytically that phase transitions of first and second order are obtained and that the topology of the corresponding critical lines endows bicritical behavior. We demonstrate that these phase transitions can be observed in the spectrum of fractal dimensions and in the spectra of related quantities. Therefore, the obtained results are of importance for the interpretation of experimental systems.
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Radons, G., Stoop, R. Superpositions of multifractals: Generators of phase transitions in the generalized thermodynamic formalism. J Stat Phys 82, 1063–1080 (1996). https://doi.org/10.1007/BF02179802
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DOI: https://doi.org/10.1007/BF02179802