Abstract
There is still a problem of a correct and accurate description of the dynamo and its uses in various fields of physics. To solve this problem, a special and universal representation of dynamo is proposed. The magnetic induction equation of dynamo is presented in the form of a Lienard relaxation oscillator with cubic nonlinear restoring force corresponding to the Mexican hat or champagne bottle potential which is used to determine the Higgs fields which are considered here in its general sense. Universal dynamo paradigm in field theory which can be used to describe disasters is proposed. Using solar activity as an example, it is shown how a dynamo induces a magnetic analogue of the Higgs fields with a broken symmetry of the magnetic field. Various dynamo modes are considered and different dynamo numbers are estimated. The dynamo effect can be used in field theory as an alternative to spontaneous symmetry breaking. Opportunities for the promotion of the new dynamo paradigm are discussed.
Highlights
Many physical systems are represented by relaxation generators
As another confirmation of the universality of relaxation mechanisms, let us consider the analogies between solar activity, Higgs fields and catastrophes that follow from the representation of a magnetic dynamo in the form of a multidimensional Lienard relaxation oscillator [1] with a cubic nonlinearity of the returning force corresponding to the Mexican hat or champagne bottle potential which is used to determine the Higgs fields and to discribe the disasters
It will be shown that the nonlinearity of oscillations increases at small scales, which justifies the use of the dynamo effect to explain the forced symmetry breaking in field theory
Summary
An example of this is Dynamo, the development of the theory of which largely determines the state of modern physics As another confirmation of the universality of relaxation mechanisms, let us consider the analogies between solar activity, Higgs fields and catastrophes that follow from the representation of a magnetic dynamo in the form of a multidimensional Lienard relaxation oscillator [1] with a cubic nonlinearity of the returning force corresponding to the Mexican hat or champagne bottle potential which is used to determine the Higgs fields and to discribe the disasters. The low-mode models with convection have a particular place in this theory [26,27,28,29], but only the representation of the dynamo in the form of the multidimensional Lienard oscillator [1] defines correctly the symmetry of the system and opens up new ways in the development of nonlinear physics thanks to the universality and productivity of the new dynamo paradigm and the specificity of relaxation oscillations. It is not difficult to generalize the dynamo effect to any fields
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