On (sub)mesoscopic scale peculiarities of diffusion driven growth in an active matter confined space, and related (bio)material realizations

摘要

Diffusion in a confined space becomes an extremely important problem with many versatile applications, ranging from biomedical to biotechnological, and involving functional and smart (bio)materials. In this study, we have shown that the well-known Mullins-Sekerka approach to morphological stability of the diffusional non ideal sphere's growth, for which a confinement factor disappears, is a firm starting point for further questions. It has two modifications and/or extensions for which the confinement factor is involved readily and becomes (in) finite firstly for microscale (or micrometer scale) involving biomatter packing phenomena. They are also applicable for nanoscopic biomaterial arrangements for which very tightly packed material and active-matter including outcomes of subdiffusive proveniency would manifest, as it has already been observed for the protein crystal growth in pores and globule-to-coil crossover phenomena.