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

Authors

  • Yslamidin Tashpolotov Osh State University
  • Taalaibek Ibraimov Osh State University

DOI:

https://doi.org/10.52754/16948645_2025_2(7)_62

Keywords:

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.

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Published

2025-12-29

How to Cite

Tashpolotov , Y., & Ibraimov , T. (2025). 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. Journal of Osh State University. Mathematics. Physics. Technical Sciences, (2(7), 58–71. https://doi.org/10.52754/16948645_2025_2(7)_62