RSS feeds
РусскийEnglish
Issue 6, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2025

 / 

August

←  →

On the 100th anniversary of Sergei Ivanovich Syrovatskii's birth. Conferences and symposia


Intermittency in random flows and stochastic integrals of motion

†  a, b, ‡  a, §  a, *  a, b
a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
b HSE University, ul. Myasnitskaya 20, Moscow, 101000, Russian Federation

This review presents recent advances in the study of frozen-in material lines and surfaces evolving in random flows. A remarkable feature of this process is the formation of long-lived coherent structures on surfaces, which are associated with certain stochastic integrals of motion. While the exact form of these integrals depends on flow properties, they become universal under the condition of local isotropy. We derive these integrals explicitly and discuss the elegant mathematics underlying this phenomenon.

Fulltext pdf (256 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2025.03.039940
Keywords: turbulence, advection, dynamo theory, random matrices
PACS: 02.50.−r, 47.27.−i, 91.25.Cw (all)
DOI: 10.3367/UFNe.2025.03.039940
URL: https://ufn.ru/en/articles/2025/8/b/
001606309600004
2-s2.0-105016803040
2025PhyU...68..747I
Citation: Il’yn A S, Kopyev A V, Sirota V A, Zybin K P "Intermittency in random flows and stochastic integrals of motion" Phys. Usp. 68 747–758 (2025)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 30th, June 2025, 5th, March 2025

Оригинал: Ильин А С, Копьев А В, Сирота В А, Зыбин К П «Перемежаемость в случайных потоках и стохастические интегралы движения» УФН 195 794–806 (2025); DOI: 10.3367/UFNr.2025.03.039940

References (65) Cited by (2) Similar articles (15) ↓

  1. L.M. Zelenyi, H.V. Malova et al “Thin and superthin current sheets: journey into the depths of Syrovatskii's singularity” Phys. Usp. 68 759–784 (2025)
  2. V.D. Kuznetsov “Space-based and extra-atmospheric studies of the Sun” Phys. Usp. 68 807–822 (2025)
  3. A.G. Frank “Current sheets in plasma: from theory to experiment” Phys. Usp. 68 823–842 (2025)
  4. A.M. Bykov “Supernovae as sources of cosmic rays” Phys. Usp. 68 785–806 (2025)
  5. “Space physics and plasma physics (on the 100th anniversary of S.I. Syrovatskii's birth) (Scientific session of the Physical Sciences Division of the Russian Academy of Sciences, March 5, 2025)” Phys. Usp. 68 745–746 (2025)
  6. A.G. Frank “Dynamics of current sheets underlying flare-type events in magnetized plasmas” Phys. Usp. 53 941–947 (2010)
  7. A.Yu. Yudanov “High-growth firms in Russia: experimental data and prospects for the econophysical simulation of economic modernization” Phys. Usp. 54 733–737 (2011)
  8. P.V. Vidov, M.Yu. Romanovsky “Nonclassical random walks and the phenomenology of fluctuations of securities returns in the stock market” Phys. Usp. 54 749–753 (2011)
  9. “Econophysics and evolutionary economics (Scientific session of the Physical Sciences Division of the Russian Academy of Sciences, 2 November 2010)” Phys. Usp. 54 729–761 (2011)
  10. M.Yu. Romanovsky “The exclusion principle and the evolution of matter in particle statistics with a hierarchical structure” Phys. Usp., accepted
  11. “Commemoration of the 85th birthday of S I Syrovatskii (Scientific session of the Physical Sciences Division of the Russian Academy of Sciences, 26 May 2010)” Phys. Usp. 53 933–961 (2010)
  12. L.M. Zelenyi, A.V. Artemyev et al “Metastability of current sheets” Phys. Usp. 53 933–941 (2010)
  13. V.D. Kuznetsov “Space research of the Sun” Phys. Usp. 53 947–954 (2010)
  14. B.V. Somov “Magnetic reconnection in solar flares” Phys. Usp. 53 954–958 (2010)
  15. V.S. Ptuskin “The origin of cosmic rays” Phys. Usp. 53 958–961 (2010)

The list is formed automatically.
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions