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 (36) Similar articles (18) ↓

  1. V.I. Klyatskin, A.I. Saichev “Statistical and dynamic localization of plane waves in randomly layered mediaSov. Phys. Usp. 35 (3) 231–247 (1992)
  2. V.I. Klyatskin, K.V. Koshel’ “Simple example of the development of cluster structure of a passive tracer field in random flowsPhys. Usp. 43 717–723 (2000)
  3. V.I. Klyatskin “Statistical topography and Lyapunov exponents in stochastic dynamical systemsPhys. Usp. 51 395–407 (2008)
  4. O.G. Bakunin “Correlation and percolation properties of turbulent diffusionPhys. Usp. 46 733–744 (2003)
  5. L.Kh. Ingel’ “’Negative heat capacity’ in stratified fluidsPhys. Usp. 45 637–644 (2002)
  6. Yu.L. Klimontovich “What are stochastic filtering and stochastic resonance?Phys. Usp. 42 37–44 (1999)
  7. A.G. Bershadskii “Large-scale fractal structure in laboratory turbulence, astrophysics, and the oceanSov. Phys. Usp. 33 (12) 1073–1075 (1990)
  8. Yu.A. Kravtsov, A.I. Saichev “Effects of double passage of waves in randomly inhomogeneous mediaSov. Phys. Usp. 25 494–508 (1982)
  9. V.S. Pronskikh “Measurement problems: contemporary discussions and modelsPhys. Usp. 63 192–200 (2020)
  10. V.S. Beskin, V.I. Par’ev “Axially symmetric steady-state flows in the vicinity of a Kerr black hole and the nature of the activity of galactic nucleiPhys. Usp. 36 (6) 529–539 (1993)
  11. A.A. Katsnel’son, A.I. Olemskoi et alSelf-oscillation processes during the structure relaxation of palladium-metal alloys (Pd—W) saturated with hydrogenPhys. Usp. 38 317–323 (1995)
  12. B.M. Bolotovskii, A.V. Serov “On the force line representation of radiation fieldsPhys. Usp. 40 1055–1059 (1997)
  13. M.A. Chernikov “Elastic properties of icosahedral and decagonal quasicrystalsPhys. Usp. 48 411–417 (2005)
  14. B.M. Bolotovskii, A.V. Serov “Features of the transition radiation fieldPhys. Usp. 52 487–493 (2009)
  15. A.V. Kukushkin, A.A. Rukhadze, K.Z. Rukhadze “On the existence conditions for a fast surface wavePhys. Usp. 55 1124–1133 (2012)
  16. F.V. Ignaovich, V.K. Ignatovich “Optics of anisotropic mediaPhys. Usp. 55 709–720 (2012)
  17. V.S. Beskin, T.I. Khalilov “On the problem of boundary conditions for mixed type equations arising in the description of astrophysical transonic flowsPhys. Usp. 66 741–746 (2023)
  18. G.S. Golitsyn “A N Kolmogorov's 1934 paper is the basis for explaining the statistics of natural phenomena of the macrocosmPhys. Usp. 67 80–90 (2024)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions