Can modern statistical mechanics unravel some practical problems encountered in model biomatter aggregations emerging in internal- and external-friction conditions?

(Dis)ordered aggregations, in particular a crystal formation in biopolymer systems, appear recently complex tasks to be undertaken by many specialists of research and technology, among which statistical physicists play their role, mainly in solving and/or elucidating the thermodynamic-kinetic and dynamic aspects of the aggregations. Biomatter aggregations are ubiquitous in both natural as well as laboratory systems, to mention but micelles emerging in aqueous solutions, biopolymer spherulites or non-Kossel (single) crystals. Although their thermodynamic behavior has mostly been studied very close to equilibrium, there has appeared recently quite a new trend of benefiting readily from some out-of-equilibrium studies on the amphiphilic systems listed above. It turns out natural to see an accompanying role of kinetic effects, ranging over many time and space scales, somehow completing the way in which systems make an attempt towards attaining, slowly or vigorously, or sometimes ”normally”, their possibly closest-to-equilibrium states, measured along a naturally selected reaction coordinate. The aggregations in question emerge naturally under a viscous (or, more generally, viscoelastic), which is to say internal-friction context. They appear because of typically asymmetric distribution(s) of structural viz hydrophobic forces throughout the amphiphilic system, thus they emerge mainly thanks to hydrophobicity. Such aggregations show up some interesting viscoelastic properties, coming from a proper quantification of their diffusion-type non-Markovian characteristics. The memory-involving properties mentioned are attributed to a broad survey of microrheological effects, accompanying the aggregations of interest. They are seen at the levels of micelles as well as of non-Kossel crystal formations. They manifest, however, under no external perturbation (load), and the only interesting constraint one can announce is related to the degrees of freedom of the system, pointing directly to its also structural, i.e excluded-volume effect. It is very important from a practical viewpoint if one is capable of speeding up the process of interest, for example, a lysozyme crystal formation. The origin of all charged particles involving formations of interest is deeply rooted in the first law of thermodynamics for open Gibbs’ systems, here of amphiphilic nature, complemented by the entropy-production equation and suitable (linear) flux-force relations with Onsager’s coefficients playing their pivotal role. The aggregations of micellar nature, in turn, may help in facilitating a process taking place in external-friction conditions, that is, with an external perturbation (load) being applied. This can happen to some model tribopolymerization systems, in which (e.g., reverse) micelles, emerging under a response of the articular cartilage to a load, may easily play at least two pronounced roles: (i)