This article has an erratum: [https://doi.org/10.1209/epl/i1999-00363-0]
Volume 46, Number 2, April II 1999
|Page(s)||183 - 189|
|Section||Electromagnetism, optics, acoustic, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
The dynamo effect—a dynamic renormalisation group approach
Department of Physics, Indian Institute of Science - Bangalore 560012
2 Department of Theoretical Physics, Indian Association of Cultivation of Science Calcutta 700032, India
Accepted: 5 February 1999
The dynamo effect is used to describe the generation of magnetic fields in astrophysical objects. However, no rigorous derivation of the dynamo equation is available. We justify the form of the equation using an Operator Product Expansion (OPE) of the relevant fields. We also calculate the coefficients of the OPE series using a dynamic renormalisation group approach and discuss the time evolution of the initial conditions on the initial seed magnetic field.
PACS: 47.65.+a – Magnetohydrodynamics and electrohydrodynamics / 91.25.Cw – Origins and models of the magnetic field; dynamo theories
© EDP Sciences, 1999
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