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

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

2001-12-19

arxiv.org/abs/cond-mat/0112345v1

Physics

Condensed Matter

Statistical Mechanics

2 pages (REVTEX.sty), 3 EPS figures

Scientific paper

10.1143/JPSJ.71.1200

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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