On temperature- and space-dimension dependent matter agglomeration in a mature growing stage

TL;DR

This paper investigates how temperature and spatial dimensions influence matter agglomeration during its mature growth stage, focusing on grain volume fluctuations and the role of entropic potentials in different matter densities.

Contribution

It introduces a model linking temperature and space to matter agglomeration characteristics, emphasizing the impact of entropic potentials on different matter arrangements.

Findings

Distinguished two types of matter agglomeration based on density and fluctuations.

Proposed a logarithmic measure for the speed of low-density matter agglomeration.

Described a common diffusion and relaxation process during the mature growth stage.

Abstract

Model matter agglomerations, with temperature as leading control parameter, have been considered, and some of their characteristics have been studied. The primary interest has been focused on the grain volume fluctuations, the magnitude of which readily differentiates between two commonly encountered types of matter agglomeration/aggregation processes, observed roughly for high- and low-density matter organizations. The two distinguished types of matter arrangements have been described through the (entropic) potential driving system. The impact of the potential type on the character of matter agglomeration has been studied, preferentially for (low density) matter agglomeration for which a logarithmic measure of its speed has been proposed. A common diffusion as well as mechanical relaxation picture, emerging during the mature growing stage, has been drawn using a phenomenological line of argumentation. Applications, mostly towards obtaining soft agglomerates of so-called jammed materials, have been mentioned.