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The Principle of Self-Similarity and Its Applications to the Description of Noncrystalline Matter

  • Richard Kerner

Abstract

We discuss he concept of self-similarity and illustrate it on several examples from mathematics and physics. Next we show how various growth and agglomeration processes can be described by means of systems of algebraic or differential equations which rule the evolution and behavior of the probabilities of elementary agglomeration processes. These methods are then used for modeling of several growth and agglomeration processes, usually leading to noncrystalline states of condensed matter, such as fullerenes, quasi-crystals or network glasses

Keywords

Network Glass Stochastic Matrix Fullerene Molecule Golden Ratio Boltzmann Factor 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Richard Kerner
    • 1
  1. 1.Laboratoire de Gravitation et Cosmologie RelativistesUniversité Pierre et Marie Curie - CNRS URA 769ParisFrance

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