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LONG MEMORY EFFECTS IN THE DEVELOPMENT OF INSTABILITY IN A RANDOM MEDIUM
- Authors: Ochir-Goryaeva A.P.1,2, Sokolov D.D.1,3,2, Illarionov E.A.3
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Affiliations:
- Lomonosov Moscow State University Faculty, of Physics
- Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation of the Russian Academy of Sciences
- Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Issue: Vol 166, No 6 (2024)
- Pages: 878-887
- Section: STATISTICAL AND NONLINEAR PHYSICS, PHYSICS OF "SOFT" MATTER
- URL: https://journals.rcsi.science/0044-4510/article/view/274802
- DOI: https://doi.org/10.31857/S0044451024120113
- ID: 274802
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Abstract
In studying the development of instabilities in a random medium, it is often assumed that memory in the medium is lost instantaneously at prescribed moments in time, while it is natural to assume that memory loss occurs gradually. This paper studies the effects arising from gradual memory loss. It turns out that long memory can increase the rate of instability development (increase the Lyapunov exponent). The connection between this effect and intermittency effects arising during the development of instabilities in a random medium is established. The study is conducted within the framework of a simple model proposed by Ya. B. Zeldovich for describing the development of instability arising under the action of curvature fluctuations during light propagation in a universe that is homogeneous and isotropic only on average.
About the authors
A. P. Ochir-Goryaeva
Lomonosov Moscow State University Faculty, of Physics; Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation of the Russian Academy of Sciences
Email: alinaocirgoraeva259@gmail.com
Russian Federation, Moscow, 119991; Moscow 108840
D. D. Sokolov
Lomonosov Moscow State University Faculty, of Physics; Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation of the Russian Academy of Sciences
Email: alinaocirgoraeva259@gmail.com
Russian Federation, Moscow, 119991; Moscow, 119991; Moscow, 108840
E. A. Illarionov
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Author for correspondence.
Email: alinaocirgoraeva259@gmail.com
Russian Federation, Moscow, 119991
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