Multifractal Behavior of the Two-Dimensional Ising Model at small spatio-temporal scales

Abstract

The distribution of the fractal dimension of the two-dimensional Ising model at the critical temperature measured by the Monte-Carlo simulation is discussed. At small spatio-temporal scales it exhibits a multifractal behavior and is well fitted by a non-Gaussian distribution derived from the R\'enyi or Tsallis entropy.

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