Transport and Thermodynamics of Physical Systems with Fractal Geometry
An analysis of the physical properties of fractals is given. Three dimensionalities are required: d — Euclidean (embedding); đ — Hausdorff; and đ — spectral (fracton). These three are sufficient to specify the transport and thermodynamic properties of self-similar systems. Application is made to relaxation time measurements on polypeptides; thermodynamic and transport studies of glasses, polymers, and irradiated quartz; and computer simulations of percolating networks.
KeywordsFractal Geometry Amorphous System Relaxation Time Measurement Short Length Scale Finite Cluster
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