Non-equilibrium hydromagnetic dynamos /
"Version: 20231101"--Title page verso.Includes bibliographical references.1. The equations of magnetohydrodynamics -- 1.1. The Navier-Stokes equation--momentum balance -- 1.2. The induction equation--magnetic field evolution2. The essentials of mean-field turbulent dynamo theory -- 2.1. The turbulent electromotive force (EMF) -- 2.2. Effects of non-equilibrium turbulence in formation of the EMF--simplified picture3. Weak turbulence : effect of beating waves -- 3.1. Lehnert waves -- 3.2. Waves forced at two distinct frequencies -- 3.3. The effect of long-time oscillations of the [alpha]-effect and the turbulent magnetic diffusivity on magnetic energy evolution -- 3.4. Non-equilibrium dynamo effects in low-resistivity plasma of interstellar medium (ISM) and active galactic nuclei (AGN)4. The effect of nonlinear dynamics--weakly nonlinear renormalization group analysis -- 4.1. Dynamical equations -- 4.2. The [alpha]-effect in weak turbulence with weak seed field -- 4.3. Renormalization procedure of the MHD equations -- 4.4. Mean field dynamics -- 4.5. Summary of main results5. Non-equilibrium turbulent dynamo from joint action and evolutional history of cross- and kinetic helicities -- 5.1. Outline of the TSDIA approach -- 5.2. The large-scale electromotive force and the [alpha]-effect -- 5.3. Coexistence of the kinetic and cross-helicities in turbulence -- 5.4. Summary -- 6. Potential applications in tokamak research.This book reviews and synthesizes recent findings concerning the dynamo effect of beating waves in a turbulent wave field and non-stationary dynamo effect associated with history of evolution of turbulent kinetic and cross helicities. The latter one is based on coexistence of the kinetic and cross helicities in plasma turbulence. Moreover, the physical picture of the non-equilibrium dynamo effect brings in a possible natural interpretation of the phenomenon of magnetic excursions and reversals in natural systems such as the Earth's core, as described in chapter 3. The most important aim of this book is to explain and emphasize the versatile role of non-equilibrium effects in turbulent hydromagnetic dynamos, hitherto typically neglected.The primary market is the community of applied mathematicians, geophysicists and astrophysicists working on dynamo theory and applications to natural systems.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Krzysztof Mizerski is an Associate Professor at the Institute of Geophysics of the Polish Academy of Sciences. He has experience in theoretical fluid mechanics in particular the theory of the hydromagnetic dynamo and stratified convection. All of his works have been concerned with analytic approaches to hydrodynamic and magnetohydrodynamic problems supplied by numerical models. These involved investigations of singular structures in boundary layers, linear and nonlinear stability theory and description of fully developed, turbulent stratified convection. One of the main topics of the research conducted by Krzysztof Mizerski is the description of large-scale hydromagnetic dynamos in the fully nonlinear regime, in particular via the renormalization group method. His most recent works were dedicated to creation of a consistent dynamical picture of the hydromagnetic dynamo process induced by nonequilibrium effects in magnetohydrodynamic turbulence. He is an author of a textbook on foundations of convection with density stratification published in 2021 by Springer, Cham.Title from PDF title page (viewed on January 4, 2024).
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