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Singlet linear equation for one-particle distribution function in statistical physics of surface phenomena in liquids
Yu. V. Agrafonov, I. S. Petrushin, D. V. Khalaimov Irkutsk State University
Abstract:
In this work we suggest the algorithm to solve the linear Fredholm integral equation of the second kind for the one-particle distribution function of simple liquid near the hard surface. The core and the right part of the equation are guessed using Percus-Yevick approximation defined on finite interval for spatial macroscopic liquid. We suggest an approach to solve the equation analytically for each interval where function is defined.
Keywords:
supercooled liquid, ideal glass, partial distribution function, replicas, chaotic phase transition of the first kind, Fredholm equation of the second kind.
Citation:
Yu. V. Agrafonov, I. S. Petrushin, D. V. Khalaimov, “Singlet linear equation for one-particle distribution function in statistical physics of surface phenomena in liquids”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 213, VINITI, Moscow, 2022, 3–9
Linking options:
https://www.mathnet.ru/eng/into1043 https://www.mathnet.ru/eng/into/v213/p3
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