Depending on the degree of nonlinearity in dynamical systems, the consequent dynamics can be dominated by the randomness due to chaos. This type of randomness is different from the external noise in measurements. The symbolic phenomenon is the well-known Brownian motion. The nonlinearity of physical characteristics can lead to the hierarchy of apparent physical behavior depending on the spatio-temporal scales of observation. The typical example is the suitable theoretical description on the basis of molecular discrete picture and continuum one. In this article, we would like to introduce examples of such situations by soft matters ranging from liquid crystals to nanopapers consisting of cellulose nanofibers (CNFs). The nanopaper is a transparent paper made of CNFs, and it is fabricated by drying aqueous dispersion of CNFs. The drying process undergoing gelation is experimentally analyzed by microscopy movie data analysis. The deformation characteristics of the whole specimen is designed by mechanical metamaterial approach. The former is based on the analysis of Brownian motion originating from the molecular nature of the system. The latter is based on the continuum mechanics, and the large deformation behavior makes use of bifurcation phenomenon. These distinctive approaches share the concept of connection between the parts and the whole, while the former is stochastic, and the latter is deterministic in the typical treatments. We would like to point out some important differences of existing studies of nonlinear dynamical systems and the applications of statistical mechanics for soft matter systems mainly originating from the stochasticity of the latter in the final section. Thereby, we propose and share the idea of the frontier to be explored rather than pedagogically explain the details of completed outcomes. This contribution is not a general review, but a perspective based on the authors’ experience.