The Role of Nonlinear Magnetic Fields and Euler Potential in Dynamo Theory Revisited | Chapter 7 | Current Research Progress in Physical Science Vol. 3

 

This chapter reexamines the role of Euler potentials (EP) in magnetic dynamo theory. There is a link between the cross-product of gradients of the EP and magnetic field lines in a moving media [1]. However, its role and importance are a subject of debate, partly because of the anti-dynamo theorem of Cowling [2] and the stringent constraints obtained in 2D- and 3D- simulations [3]. This raises questions about the utility of such potentials in the broader magneto-genesis and dynamo theories. We reexamine this question in this chapter and find that a reinterpretation of such potentials may offer a new understanding of EP’s role in the evolution of magnetic field lines.

 

Author(s) Details

Bob Osano
Mathematics and Applied Mathematics Department, Cosmology and Gravity Group, University of Cape Town, South Africa and Centre for Higher Education Development, University of Cape Town, South Africa.

Please see the book here: https://doi.org/10.9734/bpi/crpps/v3/1372