LONG MEMORY EFFECTS IN THE DEVELOPMENT OF INSTABILITY IN A RANDOM MEDIUM

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Resumo

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.

Sobre autores

A. 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
Rússia, Moscow, 119991; Moscow 108840

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
Rússia, Moscow, 119991; Moscow, 119991; Moscow, 108840

E. Illarionov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Autor responsável pela correspondência
Email: alinaocirgoraeva259@gmail.com
Rússia, Moscow, 119991

Bibliografia

  1. A. S. Il’yn, A. V. Kopyev, V. A. Sirota, and K. P. Zybin, Phys. Rev. E 105, 054130 (2022).
  2. Д. Д. Соколов, Р. А. Степанов, П. Г. Фрик, УФН 184, 313 (2014).
  3. E. A. Illarionov and D. D. Sokoloff, Phys. Rev. E 104, 015214 (2021).
  4. Я. Б. Зельдович, С. А. Молчанов, А. А. Рузмай-кин, Д. Д. Соколов, УФН 152, 3 (1987).
  5. D. D. Sokoloff and E. A. Illarionov, J. Plasma Phys. 81, 395810402 (2015).
  6. Я. Б. Зельдович, Астрон. ж. 41, 19 (1964).
  7. I. Goldhirsch, P. L. Sulem, and S. A. Orszag, Physica D 27, 311 (1987).
  8. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 51, 5609 (1995).
  9. Д. Д. Соколов, А. А. Чикина, Е. А. Илларионов, Астрон. ж. 98, 355 (2021).
  10. E. A. Illarionov and D. D. Sokoloff, Phys. Rev. E 107, 044110 (2023).
  11. V. Lamburt, D. Sokoloff, and V. Tutubalin, Astrophys. Space Sci. 298, 409 (2005).
  12. Ya. B. Zel’dovich, A. A. Ruzmaikin, S. A. Molchanov, and D. D. Sokoloff, J. Fluid Mech. 144, 1 (1984).
  13. А. Э. Мамедова, Д. Д. Соколов, Вестник МГУ, физика, астрон. 78, 2350102 (2023).
  14. В. Н. Тутубалин, Вестник МГУ, матем., мех. 3, 6 (1990).
  15. A. Brandenburg and D. Sokoloff, Geophys. Astrophys. Fluid Dyn. 96, 319 (2002).
  16. A. Brandenburg, K. Subramanian, and D. Sokoloff, Space Sci. Rev. 169, 123 (2012).
  17. А. О. Калинин, Д. Д. Соколов, В. Н. Тутубалин, Вестник МГУ, физика, астрон. 5, 17 (2017).
  18. Ф. Бродель, Материальная цивилизация, экономика и капитализм, т. 1-3, Весь Мир, Москва (2007).

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