Intermittency in random media

Ya.B. Zel’dovich^a, S.A. Molchanov, A.A. Ruzmaikin, D.D. Sokolov
^aAll-Russian Scientific Research Institute of Experimental Physics — Federal Nuclear Centre, prosp. Mira 37, Sarov, Nizhny Novgorod region, 607190, Russian Federation

Some specific structures in which a growing quantity reaches record high values typically arise for instabilities in random media. Despite the rarity of these concentrations, they dominate the integral characteristics of the growing quantity (the mean value, the mean square value, etc.). The appearance of such structures is called ``intermittency''. The geometric properties of intermittent structures depend strongly on whether the growing quantity is a scalar or a vector. The scalar case is illustrated here by the example of an instability which arises in problems of chemical kinetics. The vector case is illustrated by the problem of the selfexcitation of a magnetic field in a random flow of a conducting fluid.

PACS: 05.40.−a, 47.32.C− (all)
DOI: 10.1070/PU1987v030n05ABEH002867
URL: https://ufn.ru/en/articles/1987/5/a/
Citation: Zel’dovich Ya B, Molchanov S A, Ruzmaikin A A, Sokolov D D "Intermittency in random media" Sov. Phys. Usp. 30 353–369 (1987)

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PT Journal Article
TI Intermittency in random media
AU Zel’dovich Ya B
FAU Zel’dovich YB
AU Molchanov S A
FAU Molchanov SA
AU Ruzmaikin A A
FAU Ruzmaikin AA
AU Sokolov D D
FAU Sokolov DD
DP 10 May, 1987
TA Phys. Usp.
VI 30
IP 5
PG 353-369
RX 10.1070/PU1987v030n05ABEH002867
URL https://ufn.ru/en/articles/1987/5/a/
SO Phys. Usp. 1987 May 10;30(5):353-369

Оригинал: Зельдович Я Б, Молчанов С А, Рузмайкин А А, Соколов Д Д «Перемежаемость в случайной среде» УФН 152 3–32 (1987); DOI: 10.3367/UFNr.0152.198705a.0003