Three types of computational soft-matter problems revisited, an own-selection-based opinion

INTRODUCTION: MESOvs. NANOSCALE PASSAGE ASSOCIATED WITH ATOMIC/MOLECULAR DETAIL As pointed out by Hamacher [1] computational physics methodologies have become the third leg of natural sciences, specifically, of biological physics and chemistry, because they are striving for effective merging of theory and experiment, sometimes also extending crucially their influence ranges. As addressed by Klingenberg [2] discretized mathematics and computer science have in last decades extensively developed their tools that virtually serve the (bio)physicists to be adopted within their dedicated areas of interests. Yet, a simple random-generator based Monte Carlo method (say, in Java) after being naturally applied to certain long-existing probelms, such as DLA/diffusion limited aggregation or percolation (also, Ising magnet) require a good basic knowledge for successful realization [3]. Thus, a physicist ought to be able to select and comprehend the method as being most efficiently applicable to her/his own problem. In this Opinion, we are going to address but three types of problems coming from our own experience. As the first, let us invoke biomatter (dis)orderly aggregation and soft crystal formation mostly of protein/lysozyme type [4–6]. As the second, let us focus on storage vs. loss viscoelastic (non)linear characteristics of amphiphilic assemblages [7]. As the third, let us introduce a problem of nanoscale friction-lubrication effects on facilitated functioning of articulating systems [8, 9]. The so-offered selection is believed to be of formidable interest to biomedical engineering and biotechnology, to name but two disciplines, influencing greatly the quality of our live. As to achieve a clear presentation, we wish to rest upon the following scheme. First, state the problem (P). Second, invoke its up-to-date solutions (S), then show its limitations (L): weaknesses and strenghts. Next, introduce a modus-vivendi actual solution (M-VS). Last, draw a brief scenario (SC) for future tasks, and possibly reveal a perspective (PE). Finally, boldface the importance of nanoscale effects/NE (range of 1–100 nm) in all instances discussed. Notice that there should be an entropy-assisted passage to this scale from its corresponding upper counterpart, termed the mesoscale [10].