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Dynamics of simple hierarchical systems

Journal Article · · J. Stat. Phys.; (United States)
DOI:https://doi.org/10.1007/BF01009038· OSTI ID:6195902

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 constant. Evidence is given that in this model the Vogel-Fulcher law is independent of the Kohlrausch-Williams-Watts law for relaxation.

Research Organization:
Max-Planck-Institut fuer Polymerforschung, Mainz, West Germany
OSTI ID:
6195902
Journal Information:
J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 47:1-2; ISSN JSTPB
Country of Publication:
United States
Language:
English