Relationship between the bulk modulus and the conductivity on a fractal
- 15 October 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 28 (8) , 4831-4832
- https://doi.org/10.1103/physrevb.28.4831
Abstract
De Gennes has shown by an explicit calculation that the conductivity, conductance, and bulk modulus of a percolating network (a simple model for gelation without solvent) are related. We use recent scaling results on fractals to demonstrate that the bulk modulus on a fractal scales with the conductivity, while the force constant scales with the conductance. Our treatment is applicable to all fractal geometries, of which the percolating network is a special example.Keywords
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