English

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

Soft Condensed Matter 2012-10-03 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0412408,
  title  = {Agglomeration/aggregation and chaotic behaviour in d-dimensional spatio-temporal matter rearrangements. Number-theoretic aspects},
  author = {Adam Gadomski and Marcel Ausloos},
  journal= {arXiv preprint arXiv:cond-mat/0412408},
  year   = {2012}
}