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.
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