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Beyond Quasicrystals pp 249–290Cite as

Defects in quasicrystals, in systems with deterministic disorder and in amorphous materials

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Part of the book series: Centre de Physique des Houches ((LHWINTER,volume 3))

Abstract

What are (topological1) defects in matter ? Mathematically, they can be defined as singularities of a function Φ(x) associating a quantity, number, vector, etc., Φ∈M to any point x inside the material. Φ(x) represents the configuration of matter in the material. It is better to speak of topological entanglement instead of singularity, since we will encounter defects which are not singular. The aim of a general theory of defects is to associate topological entanglements to the set M of microscopic states of matter, and to classify them.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique, Université Louis Pasteur, 67084, Strasbourg, France

    Nicolas Rivier

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  1. Nicolas Rivier
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Editors and Affiliations

  1. Université Paris VII-Denis Diderot, France

    Françoise Axel

  2. CECN-CNRS, Vitry, France

    Denis Gratias

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© 1995 Springer-Verlag Berlin Heidelberg

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Rivier, N. (1995). Defects in quasicrystals, in systems with deterministic disorder and in amorphous materials. In: Axel, F., Gratias, D. (eds) Beyond Quasicrystals. Centre de Physique des Houches, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03130-8_10

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  • DOI: https://doi.org/10.1007/978-3-662-03130-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59251-8

  • Online ISBN: 978-3-662-03130-8

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