Thermodynamic and scaling behaviour in finite diffusion-limited aggregation |
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| Authors: | M Arturo López-Quintela M Carmen Buján-Núñez |
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| Institution: | Biodynamical Physics Group, Department of Physical Chemistry , University of Santiago de Compostela , E-15706, Santiago de Compostela, Spain |
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| Abstract: | Rényi's entropies for diffusion-limited aggregates are studied as a function of the number N of particles contained in the aggregates. It is found that Rényi's values increase with log N in a linear fashion, and that the aggregates exhibit multifractal behaviour for finite values of N. When N → ∞, the aggregate has a monofractal structure. Rényi's entropies depend on the fractal dimension of the aggregate. When the fractal dimension increases, the values of Kq decrease for q ? 1> and increase for q > 1. |
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