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Agglomeration/aggregation and chaotic behaviour in d-dimensional spatio-temporal matter rearrangements. Number-theoretic aspects

Adam Gadomski·Marcel Ausloos
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Abstract

Matter gets organized at several levels of structural rearrangements. At 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 behavior both in space and time domains. We pretend to offer a comprehensive and realistic picture of a material or megacluster formation in d-dimension.

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Adam Gadomski, Marcel Ausloos. 2004-12-15. Agglomeration/aggregation and chaotic behaviour in d-dimensional spatio-temporal matter rearrangements. Number-theoretic aspects. https://arxiv.org/abs/cond-mat/0412408

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