Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/111838
Title: Stochastic Analysis of Subcritical Amplification of Magnetic Energy in a Turbulent Dynamo
Authors: Fedotov, S.
Bashkirtseva, I.
Ryashko, L.
Issue Date: 2004
Publisher: Elsevier BV
Citation: 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.
Abstract: 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.
Keywords: 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://hdl.handle.net/10995/111838
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 4544255010
PURE ID: 1067796
ISSN: 0378-4371
DOI: 10.1103/PhysRevB.73.233301
metadata.dc.description.sponsorship: 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.
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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