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Название: Stochastic Analysis of Subcritical Amplification of Magnetic Energy in a Turbulent Dynamo
Авторы: Fedotov, S.
Bashkirtseva, I.
Ryashko, L.
Дата публикации: 2004
Издатель: Elsevier BV
Библиографическое описание: Fedotov S. Stochastic Analysis of Subcritical Amplification of Magnetic Energy in a Turbulent Dynamo / S. Fedotov, I. Bashkirtseva, L. Ryashko. — DOI 10.1103/PhysRevB.73.233301 // Physica A: Statistical Mechanics and its Applications. — 2004. — Vol. 342. — Iss. 3-4. — P. 491-506.
Аннотация: We present and analyze a simplified stochastic αΩ-dynamo model which is designed to assess the influence of additive and multiplicative noises, non-normality of dynamo equation, and nonlinearity of the α-effect and turbulent diffusivity, on the generation of a large-scale magnetic field in the subcritical case. Our model incorporates random fluctuations in the α-parameter and additive noise arising from the small-scale fluctuations of magnetic and turbulent velocity fields. We show that the noise effects along with non-normality can lead to the stochastic amplification of the magnetic field even in the subcritical case. The criteria for the stochastic instability during the early kinematic stage are established and the critical value for the intensity of multiplicative noise due to α-fluctuations is found. We obtain numerical solutions of nonlinear stochastic differential equations and find the series of phase transitions induced by random fluctuations in the α-parameter. © 2004 Elsevier B.V. All rights reserved.
Ключевые слова: MAGNETIC FIELD
NON-NORMALITY
STOCHASTIC AMPLIFICATION
DIFFERENTIAL EQUATIONS
DIFFUSION
MAGNETIC AMPLIFIERS
MAGNETIC FIELD EFFECTS
PHASE TRANSITIONS
PROBLEM SOLVING
SPURIOUS SIGNAL NOISE
STOCHASTIC CONTROL SYSTEMS
ADDITIVE NOISES
NON-NORMALITY
STOCHASTIC AMPLIFICATION
TURBULENT FLOW
URI: http://elar.urfu.ru/handle/10995/111838
Условия доступа: info:eu-repo/semantics/openAccess
Идентификатор SCOPUS: 4544255010
Идентификатор PURE: 1067796
ISSN: 0378-4371
DOI: 10.1103/PhysRevB.73.233301
Сведения о поддержке: In this project we benefited from the financial support of this work by the Royal Society-Russia-UK Joint Project Grant. SF, who was supported by Center for Turbulence Research, Stanford, is grateful to Parviz Moin and Heinz Pitsch for a hospitality and fruitful discussions. I.B. and L.R. are supported by RFBR grant 04-01-96098ural.
Располагается в коллекциях:Научные публикации, проиндексированные в SCOPUS и WoS CC

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