Diffusion in a fractal model with flights
- 21 December 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (18) , L1169-L1173
- https://doi.org/10.1088/0305-4470/18/18/010
Abstract
Fractal, walk, and spectral dimensions df, dw and ds for diffusion on a fractal model with bridges are obtained from an exact renormalisation group transformation of the diffusion time. These results do not support a recent conjecture that dw to 2 for highly crosslinked systems, nor is dw simply related (as in the Levy and Weierstrass models with flights) to exponents representing the distribution of flight lengths. However, an 'Einstein' exponent relationship between diffusion and conductivity is proved.Keywords
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