Single-length-scale postulate

The current status of computer simulations and laboratory experiments on fractal aerogels is reviewed and compared to predictions based on dynamical scaling assumptions that have been made by Alexander and collaborators. The experimental results are so far in remarkable agreement with the single-length-scale postulate for fractons and with scaling hypotheses. 

All these definitions are found to be in agreement with (2), giving the values 0.70 and 0.53 for the exponent d/D, for d = 2 and 3, respectively.7 This provides a very strong support for the single-length-scale postulate, at least for that particular model. 

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