Preview

Nuclear Physics and Engineering

Advanced search

NONLOCAL EFFECTS OF THE INTERMOLECULAR INTERACTION IN BOUNDARY LAYERS OF LIQUIDS

https://doi.org/10.56304/S2079562924060022

EDN: DFBNFN

Abstract

A molecular system of hard spheres adjacent to a perfectly smooth solid surface is considered. The interaction of particles with the surface is determined by the potential of hard spheres. The single-particle distribution function, which sets the local density, is found by solving the Fredholm integral equation of the second kind. The core and the right-hand side of the Fredholm equation are calculated analytically in the Percus–Yevick approximation. An analytical solution of the modified singlet equation is obtained, taking into account nonlocal interactions.

About the Authors

Yu. V. Agrafonov
Irkutsk State University
Russian Federation


I. S. Petrushin
Irkutsk State University
Russian Federation


I. V. Bezler
Irkutsk State University
Russian Federation


D. V. Khalaimov
Irkutsk State University
Russian Federation


R. Yu. Leontyev
Irkutsk State University
Russian Federation


References

1. Саркисов Г.Н. // Усп. физ. наук. 2002. Т. 172 (6). С. 647–669.

2. Martynov G.A. Fundamental Theory of Liquids. Method of Distribution Functions. 1992. Bristol: Adam Hilger.

3. Vompe A.G., Martynov G.A. // J. Chem. Phys. 1997. V. 106 (14). P. 6095–6101.

4. Крокстон К. Физика жидкого состояния. Статистическое введение. 1978. Москва: Мир.

5. Rogers F.J., Young D.A. // Phys. Rev. A. 1984. V. 30 (2). P. 999–1007.

6. Tikhonov D.A., Kiselyov O.E., Martynov G.A., Sarkisov G.N. // J. Mol. Liq. 1999. V. 82 (1–2). P. 3.

7. Wertheim M.S. // Phys. Rev. Lett. 1963. V. 10 (8). P. 321–323

8. Agrafonov Y., Petrushin I. // Phys. Proc. 2015. V. 71. P. 364.

9. Agrafonov Y., Petrushin I. // J. Phys.: Conf. Ser. 2016. V. 747. P. 012024.

10. Аграфонов Ю.В., Петрушин И.С. // Изв. РАН. Сер.: физ. 2020. Т. 84 (7). С. 951.

11. Agrafonov Y., Petrushin I. // J. Phys.: Conf. Ser. 2021. V. 1847. P. 012035.


Review

For citations:


Agrafonov Yu.V., Petrushin I.S., Bezler I.V., Khalaimov D.V., Leontyev R.Yu. NONLOCAL EFFECTS OF THE INTERMOLECULAR INTERACTION IN BOUNDARY LAYERS OF LIQUIDS. Nuclear Physics and Engineering. 2025;16(4):455-460. (In Russ.) https://doi.org/10.56304/S2079562924060022. EDN: DFBNFN

Views: 26

JATS XML


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


ISSN 2079-5629 (Print)
ISSN 2079-5637 (Online)