- PII
- 10.31857/S0044451024120113-1
- DOI
- 10.31857/S0044451024120113
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 166 / Issue number 6
- Pages
- 878-887
- 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.
- Keywords
- Date of publication
- 17.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 6
References
- 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).
