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arxiv: cond-mat/0508734 · v1 · submitted 2005-08-30 · ❄️ cond-mat.stat-mech

Anomalous Scaling and Fractal Dimensions

classification ❄️ cond-mat.stat-mech
keywords criticalfractalanomalousavailablecharacterizingconsideringcontinuousdimensions
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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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