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Agglomeration/Aggregation and Chaotic Behaviour in d-Dimensional Spatio-Temporal Matter Rearrangements Number-Theoretic Aspects

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The Logistic Map and the Route to Chaos

Part of the book series: Understanding Complex Systems ((UCS))

Summary

Matter gets organized at several levels of structural rearrangements. At a mesoscopic level one can distinguish between two types of rearrangements, conforming to different close-packing or densification conditions, appearing during different evolution stages. The cluster formations appear to be temperature- and space-dimension dependent. They suffer a type of Verhulst-like saturation (frustration) when one couples the growing (instability) and mechanical stress relaxation modes together. They manifest a chaotic behaviour both in space and time domains. We pretend to offer a comprehensive and realistic picture of a material or mega-cluster formation in d dimension.

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Author information

Authors and Affiliations

  1. U.T.A. Bydgoszcz, Institute of Maths & Physics, Bydgoszcz, PL-85796, Poland

    Adam Gadomski

  2. SUPRATECS, University of Liège, Liège, B-4000, Euroland

    Marcel Ausloos

Authors
  1. Adam Gadomski
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  2. Marcel Ausloos
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Editor information

Editors and Affiliations

  1. Institut de Physique, Université de Liège, B5, Sart Tilman, 4000, Liège, Belgium

    Marcel Ausloos

  2. Royal Military Academy/ELEC, Avenue de la, Renaissancelaan 30, 1000, Brussels, Belgium

    Michel Dirickx

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© 2006 Springer-Verlag Berlin Heidelberg

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Gadomski, A., Ausloos, M. (2006). Agglomeration/Aggregation and Chaotic Behaviour in d-Dimensional Spatio-Temporal Matter Rearrangements Number-Theoretic Aspects. In: Ausloos, M., Dirickx, M. (eds) The Logistic Map and the Route to Chaos. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32023-7_16

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