HIERARCHICAL QUANTIZATION AND LONG-RANGE ACTION OF SURFACE FORCES IN CONDENSED MEDIA: MESOMECHANICAL AND THERMODYNAMIC ASPECTS
HIERARCHICAL QUANTIZATION AND LONG-RANGE ACTION OF SURFACE FORCES IN CONDENSED MEDIA: MESOMECHANICAL AND THERMODYNAMIC ASPECTS
DOI:
https://doi.org/10.52754/16948645_2025_2(7)_62Keywords:
phase boundaries, surface forces, self-organization, hierarchy, dissipative structures, thermodynamics.Abstract
This paper presents the results of experimental and theoretical research demonstrating the existence of a discrete, hierarchically organized sphere of action of surface forces (SASF) in the boundary layers of liquids, extending to distances of up to 200 micrometers. Using modified methods for measuring contact angles on microfibers and interfacial tension, it has been established that the attenuation of the surface's influence occurs not monotonically, but through a sequence of abrupt transitions at inflection points (7, 20, 40, 96, 200 μm for castor oil). A theoretical model is proposed, introducing a scale invariant C ≈ 10–20, which links macroscopic bifurcation points of properties with the critical number of molecules (N_cl ≈ 8000) in a mesoscopic cluster, necessary to overcome entropic chaos. It is shown that the interface functions as an active generator of dissipative structures, and the balance between the binding energy and the entropic factor determines the thermodynamic stability of the hierarchical levels. The results necessitate a revision of classical boundary conditions in surface physics and open new possibilities for controlling material properties in nanotechnologies, microelectronics, and geomechanics.
References
Гиббс Дж. В. Термодинамические работы. – М.-Л.: ГИТТЛ, 1950. – 492 с.
Ахматов А.С. Молекулярная физика граничного трения. – М.: Физматгиз, 1963. – 472 с.
Адамсон А. Физическая химия поверхностей. – М.: Мир, 1979. – 568 с.
Джейкок М., Парфит Дж. Химия поверхностей раздела фаз. – М.: Мир, 1984. – 269 с.
Derjaguin B. V., Landau L. D. Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes // Acta Physico-Chimica Sinica. – 1941. – Vol. 14. – P. 633–662.
Дерягин Б.В., Чураев Н.В., Муллер В.М. Поверхностные силы. –М.:Наука, 1985.– 398 с.
Israelachvili J.N. Intermolecular and Surface Forces. – 3rd ed. – Academic Press, Elsevier, 2011.- 704 p.
Петрянов И.В., Розенблюм Н.Д. О краевых углах малых капель // Доклады АН СССР. – 1948. – Т. 61. – № 4. – С. 661–664.
Panin V.E., Slosman A.I., Antipina N.A. Mesoscopic structural levels of deformation of polycrystals // Physical Mesomechanics. – 2003. – Vol. 6. – No. 3. – P. 5–14.
Панин В. Е., Сергеев В. П., Панин А. В. Наноструктурирование поверхностных слоев конструкционных материалов и нанесение наноструктурных покрытий. – Томск: Изд-во ТПУ, 2010. – 254 с.
Панин В.Е. и др. Физическая мезомеханика материалов. Томск: Изд-во ТПУ, 2015.
Пригожин И., Кондепуди Д. Современная термодинамика. От тепловых двигателей до диссипативных структур. – М.: Мир, 2002. – 461 с.
Nicolis G. und Prigogine I. Self-Organization in Nonequilibrium Systems. From Dissipative Structures to Order through Fluctuations. J. Wiley & Sons, New York, London, Sydney, Toronto 1977. 491 Seiten.
Bocquet L., Charlaix E. Nanofluidics, from whole tree to amino acids // Chemical Society Reviews. 2010.
Alts T. The Thermodynamics of Interfaces // Continuum Mechanics and Thermodynamics. 2015.
Mesomechanics: Emerging Homogenization Concepts for Multiscale Materials / Ed. by S. Schmauder. – Springer, 2011. – 350 p.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Journal of Osh State University. Mathematics. Physics. Technical Sciences

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.