Translational Motion of Water Molecules near the Interface between Gas and Condensed Matter Using the Self-Similarity Effect and 4D Space

Abstract—The self-similarity effect during rarefied water vapor flow between two finite-volume vessels is repeatedly recorded with a similarity coefficient of 3/4. The concept of hybrid water molecules is defined and a theoretical model describing the behavior of such molecules when sampling a water vapor is constructed. The model describes translational motion of water molecules near the gas–condensed matter interface taking into account the effect of force fields resulting in curvilinear trajectories of molecules. The model uses fibre bundle and Markov chain constructions. A new method for determining the similarity coefficient, based on a comparison of pressure curves as functions of time, which significantly improves the accuracy of the similarity coefficient determination, is proposed.