Schweitzer Fachinformationen
Wenn es um professionelles Wissen geht, ist Schweitzer Fachinformationen wegweisend. Kunden aus Recht und Beratung sowie Unternehmen, öffentliche Verwaltungen und Bibliotheken erhalten komplette Lösungen zum Beschaffen, Verwalten und Nutzen von digitalen und gedruckten Medien.
The most important aim of this book is to explain and emphasize the versatile role of non-equilibrium effects in turbulent hydromagnetic dynamos. The book gathers the knowledge and explains the hydromagnetic dynamo effect in non-equilibrium turbulence, which operates even under neglection of electrical resistivity of the fluid, and sheds light on its different dynamical aspects. The described dynamo mechanism is operative and therefore crucial in the evolution of high conductivity plasmas. 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. Various mathematical methods, including the renormalization group theory are utilized in order to provide a concise and complete description of the non-equilibrium dynamo effect, not yet widely realized within the geophysical/astrophysical and fluid dynamics communities, however, as demonstrated, very significant under certain dynamical conditions. In addition, the book emphasizes the variety of distinct dynamical effects that may lead to mean-field dynamo, especially in fully developed, strongly nonlinear turbulence and through derivation of exact evolution laws for the magnetic, kinetic, cross and current helicities demonstrates that there is clearly no contradiction between the amplification of the mean-field by turbulent flow (the large-scale dynamo effect) and conservation of the total magnetic helicity in absence of diffusion.
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.
Preface
Acknowledgements
Author biography
Symbols
1 The equations of magnetohydrodynamics
1.1 The Navier-Stokes equation-momentum balance
1.2 The induction equation-magnetic field evolution
References
2 The essentials of mean-field turbulent dynamo theory
2.1 The turbulent electromotive force (EMF)
2.1.1 Production of fluctuational helicities
2.2 Effects of non-equilibrium turbulence in formation of the EMF-simplified picture
3 Weak turbulence: effect of beating waves
3.1 Lehnert waves
3.2 Waves forced at two distinct frequencies
3.2.1 Mean EMF induced by forced beating waves
3.2.2 Dynamo action from beating waves
3.3 The effect of long-time oscillations of the a-effect and the turbulent magnetic diffusivity on magnetic energy evolution
3.3.1 Simple kinematic theory for homogeneous turbulence 3-19 3.3.2 Dynamic theory
3.3.3 Discussion
3.3.4 Nonlinear effects of the Lorentz force
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 a-effect in weak turbulence with weak seed field
4.2.1 Energy time evolution in weak turbulence
4.3 Renormalization procedure of the MHD equations
4.3.1 The recursion differential equations
4.3.2 Role of diffusivities
4.4 Mean field dynamics
4.4.1 Force-free mode, J ¿ B
4.5 Summary of main results
5 Non-equilibrium turbulent dynamo from joint action and evolutional history of cross- and kinetic helicities
5.1 Outline of the TSDIA approach
5.1.1 The Green's response functions
5.1.2 Statistical properties of the homogeneous and isotropic background turbulence
5.2 The large-scale electromotive force and the a-effect
5.2.1 Physical features of the non-equilibrium aX neq-effect
5.2.2 Further calculation of the aX neq-effect; Taylor (1921) ansatz for correlation functions
5.3 Coexistence of the kinetic and cross-helicities in turbulence
5.4 Summary
6 Potential applications in tokamak research
Dateiformat: ePUBKopierschutz: ohne DRM (Digital Rights Management)
Systemvoraussetzungen:
Das Dateiformat ePUB ist sehr gut für Romane und Sachbücher geeignet – also für „glatten” Text ohne komplexes Layout. Bei E-Readern oder Smartphones passt sich der Zeilen- und Seitenumbruch automatisch den kleinen Displays an. Ein Kopierschutz bzw. Digital Rights Management wird bei diesem E-Book nicht eingesetzt.
Weitere Informationen finden Sie in unserer E-Book Hilfe.
