The Principle of Self-Similarity and Its Applications to the Description of Noncrystalline Matter
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
KeywordsNetwork Glass Stochastic Matrix Fullerene Molecule Golden Ratio Boltzmann Factor
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