The method of incoherent decomposition in the theory of kinematic dynamo
- Authors: Il’yn A.S1,2, Kop'ev A.V1, Sirota V.A1, Zybin K.P1,2
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Affiliations:
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences
- National Research University «Higher School of Economics»
- Issue: Vol 89, No 7 (2025)
- Pages: 1008-1013
- Section: Magnetohydrodynamics
- URL: https://journals.eco-vector.com/0367-6765/article/view/696756
- DOI: https://doi.org/10.31857/S0367676525070012
- ID: 696756
Cite item
Abstract
We discussed the incoherent decomposition method, which allows us to describe the intermediate asymptotics of perturbation growth in the theory of kinematic dynamo and the theory of transport of passive scalar. This approach allows to take a fresh look at the nature of dynamo at large Prandtl numbers.
About the authors
A. S Il’yn
P.N. Lebedev Physical Institute of the Russian Academy of Sciences; National Research University «Higher School of Economics»
Email: Asif72@mail.ru
Moscow, Russia
A. V Kop'ev
P.N. Lebedev Physical Institute of the Russian Academy of SciencesMoscow, Russia
V. A Sirota
P.N. Lebedev Physical Institute of the Russian Academy of SciencesMoscow, Russia
K. P Zybin
P.N. Lebedev Physical Institute of the Russian Academy of Sciences; National Research University «Higher School of Economics»Moscow, Russia
References
- Урысон А.В. // Изв. РАН. Сер. физ. 2024. T. 88. № 3. C. 495; Uryson A.V. // Bull. Russ. Acad. Sci. Phys. 2024. V. 88. No. 3. P. 422.
- Зельдович Я.Б., Рузмайкин А.А., Соколов Д.Д. Магнитные поля в астрофизике. Москва-Ижевск: НИЦ «Регулярная и хаотическая динамика», Институт компьютерных исследований, 2006.
- Alfvén H. // Nature. 1942. V. 150. No. 3805. P. 405.
- Batchelor G.K. // Proc. Royal. Soc. London. A. 1950. V. 201. No. 1066. P. 405.
- Казанцев А.П. // ЖЭТФ. 1967. T. 53. № 5(11). C. 1806.
- Kraichnan R. // Phys. Fluids. 1967. V.10. P. 1417.
- Vainshtein S.I., Kichatinov L.L. // J. Fluid Mech. 1986. V. 168. P. 73.
- Il’yn A.S., Kopyev A.V., Sirota V.A., Zybin K.P. // Phys. Fluids. 2021. V. 33. No. 7. Art. No. 075105.
- Kolokolov I.V. // J. Phys. A. Math. Theor. 2017. V. 50. Art. No. 155501.
- Вайнштейн С.И., Зельдович Я.Б. // УФН. 1972. T. 106. № 3. C. 431.
- Belinicher V.I., L'vov V.S. // Sov. Phys. JETP. 1987. V. 66. P. 303.
- Cherikov M., Falkovich G., Kolokolov I., Vergassola M. // Phys. Rev. Lett. 1999. V. 83. P. 4065.
- Kopyev A.V., Kiselev A.M., Il’yn A.S., et al. // Astrophys. J. 2022. V. 927. P. 172.
- Kopyev A.V., Il’yn A.S., Sirota V.A., Zybin K.P. // Phys. Fluids. 2022. V. 34. Art. No. 035126.
- Kopyev A.V., Il’yn A.S., Sirota V.A., Zybin K.P. // MNRAS. 2024. V. 527. No. 1. P. 1055.
- Il’yn A.S., Sirota V.A., Zybin K.P. // Europhys. Lett. 2018. V. 121. Art. No. 34002.
- Il’yn A.S., Sirota V.A., Zybin K.P. // J. Stat. Phys. 2016. V. 163. P. 765.
- Il’yn A.S., Sirota V.A., Zybin K.P. // J. Stat. Phys. 2017. V. 166. P. 24.
- Il’yn A.S., Kopyev A.V., Sirota V.A., Zybin K.P. // Phys. Rev. E. 2022. V. 105. Art. No. 054130.
- Il’yn A.S., Sirota V.A., Zybin K.P. // Phys. Scripta. 2019. V. 94. Art. No. 064001.
- Johnson P.L., Meneveau C. // Phys. Fluids. 2015. V. 27. P. 8.
- Zel'dovich Y.B., Ruzmaikin A.A., Molchanov S.A., Sokoloff D.D. // J. Fluid Mech. 1984. V. 144. P. 1.
- Moffat H.K., Saffman P.J. // Phys. Fluids. 1964. V. 7. No. 1. P. 155.
- Falkovich G., Gawedzki K., Vergassola M. // Rev. Mod. Phys. 2001. V. 73. P. 913.
- Balkovsky E., Fouxon A. // Phys. Rev. E. 1999. V. 60. P. 4164.
- Ильин А.С. Стохастический транспорт в изотропных потоках. Дисс. ... докт. физ.-мат. наук. Москва: ФИАН, 2024. 169 с.
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