Anomalous Scaling and Fractal Dimensions

Details Anomalous Scaling and Fractal Dimensions Anomalous Scaling and Fractal Dimensions

2005-08-30

arxiv.org/abs/cond-mat/0508734v1

Physics

Condensed Matter

Statistical Mechanics

3 pages, 1 figure

Scientific paper

The relation between critical exponents, characterizing a continuous phase
transition, and the fractal structure of physical lines, proliferating at the
critical point, is established by considering the two-dimensional O($N$) spin
model for which many exact results are available.

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