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Simple example of the development of cluster structure of a passive tracer field in random flows

 a,  b
a A M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation
b Pacific Oceanological Institute, Far-Eastern Division of the Russian Academy of Sciences, Baltiiskaya str. 43, Vladivostok, 690041, Russian Federation

As a follow-up to Ref. [1], the formation of particle clusters (Lagrangian description) and cluster structure of the field of a passive tracer (Eulerian description) in a random velocity field is analyzed for a simple problem amenable to an analytical solution.

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Fulltext is also available at DOI: 10.1070/PU2000v043n07ABEH000743
PACS: 02.50.−r, 05.40.-j, 05.45.+b
DOI: 10.1070/PU2000v043n07ABEH000743
URL: https://ufn.ru/en/articles/2000/7/e/
000165062700005
Citation: Klyatskin V I, Koshel’ K V "Simple example of the development of cluster structure of a passive tracer field in random flows" Phys. Usp. 43 717–723 (2000)
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Оригинал: Кляцкин В И, Кошель К В «Простейший пример возникновения кластерной структуры поля пассивной примеси в случайных потоках» УФН 170 771–778 (2000); DOI: 10.3367/UFNr.0170.200007f.0771

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  1. V.I. Klyatskin, A.I. Saichev “Statistical and dynamic localization of plane waves in randomly layered media” Sov. Phys. Usp. 35 (3) 231–247 (1992)
  2. V.I. Klyatskin “Statistical topography and Lyapunov exponents in stochastic dynamical systems” Phys. Usp. 51 395–407 (2008)
  3. V.I. Klyatskin “Statistical description of the diffusion of a passive tracer in a random velocity field” Phys. Usp. 37 501–513 (1994)
  4. Yu.L. Klimontovich “What are stochastic filtering and stochastic resonance?” Phys. Usp. 42 37–44 (1999)
  5. I.M. Arbekov, S.N. Molotkov “Quantum random number generators, extraction of provably random bit sequences from Markov chain trajectories” Phys. Usp. 67 919–937 (2024)
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  7. A.G. Bershadskii “Large-scale fractal structure in laboratory turbulence, astrophysics, and the ocean” Sov. Phys. Usp. 33 (12) 1073–1075 (1990)
  8. G. Oppen “Objects and environment” Phys. Usp. 39 617–622 (1996)
  9. V.N. Tutubalin “Probability, computers, and the processing of experimental data” Phys. Usp. 36 (7) 628–641 (1993)
  10. M.Yu. Romanovsky “On R L Stratonovich's formula for transition from dynamic to probabilistic measurements and its connection with operations on distribution functions of random variables” Phys. Usp. 67 1056–1064 (2024)
  11. Yu.L. Klimontovich “Relative ordering criteria in open systems” Phys. Usp. 39 1169–1179 (1996)
  12. Yu.A. Kravtsov, A.I. Saichev “Effects of double passage of waves in randomly inhomogeneous media” Sov. Phys. Usp. 25 494–508 (1982)
  13. B.M. Bolotovskii, S.N. Stolyarov “Law of conservation of energy for the electromagnetic field as applied to radiation by moving charged particles” Sov. Phys. Usp. 35 (3) 248–254 (1992)
  14. V.I. Tatarskii “Example of the description of dissipative processes in terms of reversible dynamic equations and some comments on the fluctuation-dissipation theorem” Sov. Phys. Usp. 30 134–152 (1987)
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  17. N.V. Evdokimov, D.N. Klyshko et al “Bell’s inequalities and EPR-Bohm correlations: working classical radiofrequency model” Phys. Usp. 39 83–98 (1996)
  18. A.B. Brailovskii, V.L. Vaks, V.V. Mityugov “Quantum models of relaxation” Phys. Usp. 39 745–750 (1996)
  19. V.I. Ritus “On the difference between Wigner’s and Møller’s approaches to the description of Thomas precession” Phys. Usp. 50 95–101 (2007)
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