RSS feeds
РусскийEnglish
Issue 12, 2025
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1994

 / 

May

←  →

Methodological notes


Statistical description of the diffusion of a passive tracer in a random velocity field


A M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation

A single functional approach is used to treat the problem of the diffusion of a tracer in a random velocity field, posed in a general form. Approximate methods leading to various approximate solutions and the conditions of their validity are examined. Plane parallel average flow is considered in detail and some features of statistical solutions are discussed for the simplest case.

Fulltext pdf (607 KB)
Fulltext is also available at DOI: 10.1070/PU1994v037n05ABEH000110
PACS: 47.27.Qb, 92.10.Eq, 92.60.Ek (all)
DOI: 10.1070/PU1994v037n05ABEH000110
URL: https://ufn.ru/en/articles/1994/5/b/
A1994PG23700002
Citation: Klyatskin V I "Statistical description of the diffusion of a passive tracer in a random velocity field" Phys. Usp. 37 501–513 (1994)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Кляцкин В И «Статистическое описание диффузии пассивной примеси в случайном поле скоростей» УФН 164 531–544 (1994); DOI: 10.3367/UFNr.0164.199405b.0531

References (32) Cited by (38) ↓ Similar articles (18)

  1. Jossy J P, Awasthi P S, Gupta P Physica D: Nonlinear Phenomena 483 134926 (2025)
  2. Koshel K V, Stepanov D V Physics of Fluids 36 (5) (2024)
  3. Koshel K, Stepanov D et al Symmetry 15 (12) 2211 (2023)
  4. Iudin D I, Sysoev A A, Rakov V A Radiophys Quantum El 64 (11) 780 (2022)
  5. Iudin D I, Syssoev A A Journal Of Atmospheric And Solar-Terrestrial Physics 240 105944 (2022)
  6. Stepanov D V, Ryzhov E A et al Geophysical & Astrophysical Fluid Dynamics 114 (4-5) 690 (2020)
  7. Stepanov D V, Ryzhov E A et al Geophysical Research Letters 47 (3) (2020)
  8. Koshel K V, Ryzhov E A, Carton X J Fluids 4 (1) 14 (2019)
  9. Koshel K V, Stepanov D V et al Phys. Rev. E 100 (6) (2019)
  10. Iudin D I, Rakov V A et al Npj Clim Atmos Sci 2 (1) (2019)
  11. Iudin D I Radiophys Quantum El 60 (5) 374 (2017)
  12. Klyatskin V I, Koshel K V Phys. Rev. E 95 (1) (2017)
  13. Koshel K V, Ryzhov E A, Zhmur V V Phys. Rev. E 92 (5) (2015)
  14. Koshel K V, Ryzhov E A, Zhmur V V Nonlin. Processes Geophys. 20 (4) 437 (2013)
  15. Semenov A I, Shefov N N Geomagn. Aeron. 51 (4) 429 (2011)
  16. Dorini F A, Furtado F, Cunha M C C Applied Numerical Mathematics 59 (12) 2994 (2009)
  17. Khomich V Yu, Semenov A I, Shefov N N Airglow as an Indicator of Upper Atmospheric Structure and Dynamics Chapter 5 (2008) p. 551
  18. Khomich V Yu, Semenov A I, Shefov N N Airglow as an Indicator of Upper Atmospheric Structure and Dynamics Chapter 4 (2008) p. 413
  19. Khomich V Yu, Semenov A I, Shefov N N Airglow as an Indicator of Upper Atmospheric Structure and Dynamics Chapter 1 (2008) p. 9
  20. Elperin T, Kleeorin N et al Environ Fluid Mech 7 (2) 173 (2007)
  21. Shefov N N, Semenov A I, Yurchenko O T Geomagn. Aeron. 46 (2) 236 (2006)
  22. Stochastic Equations through the Eye of the Physicist (2005) p. 513
  23. Klyatskin V I Uspekhi Fizicheskikh Nauk 173 (7) 689 (2003)
  24. Gribova E Z Radiophysics And Quantum Electronics 46 (2) 145 (2003)
  25. Bakunin O G Uspekhi Fizicheskikh Nauk 173 (7) 757 (2003)
  26. Jeffery Ch A Phys. Rev. E 61 (6) 6578 (2000)
  27. Gribova E Z, Zhukova I S et al Radiophys Quantum Electron 43 (5) 411 (2000)
  28. Klyatskin V I, Yakushkin I G J. Exp. Theor. Phys. 91 (4) 736 (2000)
  29. Gama S, Milheiro-Oliveira P Phys. Rev. E 62 (1) 1424 (2000)
  30. Klyatskin V I, Gurarie D Uspekhi Fizicheskikh Nauk 169 (2) 171 (1999)
  31. Klyatskin V I, Saichev A I J. Exp. Theor. Phys. 84 (4) 716 (1997)
  32. Zhukova I S, Saichev A I Journal Of Applied Mathematics And Mechanics 61 (5) 765 (1997)
  33. Klyatskin V I, Woyczynski W A The IMA Volumes In Mathematics And Its Applications Vol. Stochastic Models in GeosystemsDynamical and Statistical Characteristics of Geophysical Fields and Waves and Related Boundary-Value Problems85 Chapter 10 (1997) p. 171
  34. Zhukova I S, Saichev A I Radiophys Quantum Electron 40 (8) 682 (1997)
  35. Klyatskin V I, Woyczynski W A, Gurarie D Stochastic Modelling in Physical Oceanography Chapter 9 (1996) p. 221
  36. Klyatskin V I, Woyczynski W A, Gurarie D J Stat Phys 84 (3-4) 797 (1996)
  37. Zhukova I S, Saichev A I Radiophys Quantum Electron 39 (5) 398 (1996)
  38. Elperin T, Kleeorin N, Rogachevskii I Phys. Rev. E 52 (3) 2617 (1995)
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions