Singlet Equations for One-Particle Distribution Function of Surface Layers in Liquids
https://doi.org/10.56304/S2079562923010025
Abstract
An analytical solution of the Fredholm linear integral equation of the second kind for a single-particle distribution function of a liquid near a solid molecular-smooth surface is obtained. The one-particle distribution function describes the change in the local density over the entire distance of the particles from the surface. The solution is obtained in the special case of a molecular system of solid spheres. The kernel and the right-hand side of the Fredholm equation are calculated in the Percus–Yevick approximation. The interaction of particles with the surface is considered as elastic collisions.
Supporting agencies: Authors are grateful to Yu.D. Fomin, V.N. Ryzhov, and participants of the 13th All-Russian Seminar “Physical Chemistry of Surface Phenomena” at the Frumkin Institute of Physics and Chemistry of the Russian Academy of Sciences for useful discussions.
About the Authors
Yu. V. Agrafonov
Irkutsk State University, Irkutsk, 664003 Russia
Russian Federation
Russian Federation
I. S. Petrushin
Irkutsk State University, Irkutsk, 664003 Russia
Russian Federation
Russian Federation
I. V. Bezler
Irkutsk State University, Irkutsk, 664003 Russia
Russian Federation
Russian Federation
D. V. Khalaimov
Irkutsk State University, Irkutsk, 664003 Russia
Russian Federation
Russian Federation
References
1. <em>Саркисов Г.Н.</em> // Успехи физических наук. 2002. Т. 172 (6). С. 647–669.
2. <em>Martynov G.A.</em> Fundamental theory of liquids; method of distribution functions. Bristol: 1992. Bristol: Adam Hilger.
3. <em>Vompe A.G., Martynov G.A.</em> // J. Chem. Physics. 1997. V. 106 (14). P. 6095–6101.
4. <em>Крокстон К.</em> Физика жидкого состояния. Статистическое введение. 1978. Москва: Мир.
5. <em>Rogers F.J., Young D.A.</em> // Phys. Rev. A. 1984. V. 30 (2). P. 999–1007.
6. <em>Wertheim M.S.</em> // Phys. Rev. Letters. 1963. V. 10 (8). P. 321–323.
7. <em>Tikhonov D.A. et al.</em> // J. Mol. Liq. 1999. V. 82 (1−2). P. 3.
8. <em>Agrafonov Y., Petrushin I.</em> // Phys. Proc. 2015. V. 71. P. 364.
9. <em>Agrafonov Y., Petrushin I.</em> // J. Phys. Conf. Ser. 2016. V. 747 (1). P. 012024.
10. <em>He Y., Rice S.A., Xu X.</em> // J. Chem. Phys. 2016. V. 145 (23). P. 234508.
11. <em>Аграфонов Ю.В., Петрушин И.С.</em> // Изв. РАН. Сер. физ. 2020. Т. 84. (7). С. 951.
12. <em>Agrafonov Y., Petrushin I.</em> // J. Phys. Conf. Ser. 2021. V. 1847. P. 012035.
Review
For citations:
Agrafonov Yu.V., Petrushin I.S., Bezler I.V., Khalaimov D.V. Singlet Equations for One-Particle Distribution Function of Surface Layers in Liquids. Nuclear Physics and Engineering. 2024;15(1):43-47. (In Russ.) https://doi.org/10.56304/S2079562923010025
Views:
19
Email this article 