Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 213, Pages 3–9
DOI: https://doi.org/10.36535/0233-6723-2022-213-3-9
(Mi into1043)
 

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
References:
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.
Funding agency Grant number
Russian Foundation for Basic Research 18-02-00523a
This work was supported by the Russian Foundation for Basic Research (project No. 18-02-00523a).
Document Type: Article
UDC: 532.782
MSC: 45B05, 45G15
Language: Russian
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
Citation in format AMSBIB
\Bibitem{AgrPetKha22}
\by Yu.~V.~Agrafonov, I.~S.~Petrushin, D.~V.~Khalaimov
\paper Singlet linear equation for one-particle distribution function in statistical physics of surface phenomena in liquids
\inbook Geometry, Mechanics, and Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 213
\pages 3--9
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1043}
\crossref{https://doi.org/10.36535/0233-6723-2022-213-3-9}
Linking options:
  • https://www.mathnet.ru/eng/into1043
  • https://www.mathnet.ru/eng/into/v213/p3
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025