Abstract
Some applications of ultrametric and hierarchical structures are discussed in the context of condensed matter physics. It is shown that a simple arrangement of barriers leads to the Vogel-Fulcher law for the diffusion contant. Evidence is given that in this model the Vogel-Fulcher law is independent of the Kohlrausch-Williams-Watts law for relaxation.
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Vilgis, T.A. On the dynamics of simple hierarchical systems. J Stat Phys 47, 133–148 (1987). https://doi.org/10.1007/BF01009038
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DOI: https://doi.org/10.1007/BF01009038