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

Abstract

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. © 2006 Springer-Verlag Berlin Heidelberg.