Fractals without anomalous diffusion
- 1 March 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (3) , R1785-R1787
- https://doi.org/10.1103/physreve.49.r1785
Abstract
By an alternative analytical technique we solve the random-walk problem on a particular class of fractal trees, calculating the exact value of their spectral dimension. The result shows that for all these structures the spectral dimension and the fractal dimension are equal, providing an example of fractal structures with nonanomalous diffusion as well as an example of fractals with a noninteger spectral dimension greater than 2.Keywords
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