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Structure of magnetic field lines

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2012

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Elsevier Science BV

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Abstract

In this paper the Hamiltonian structure of magnetic lines is studied in many ways. First it is used vector analysis for defining the Poisson bracket and Casimir variable for this system. Second it is derived Pfaffian equations for magnetic field lines. Third, Lie derivative and derivative of Poisson bracket is used to show structure of this system. Finally, it is shown Nambu structure of the magnetic field lines

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Integrable Systems, Non-Integrable Systems, Forms, Lie Derivative, Exterior Derivative, Magnetic Surfaces, Nambu Mechanics

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Citation

Golmankhaneh, A.K...et al. (2012). Structure of magnetic field lines. Communications In Nonlinear Science And Numerical Simulation, 17(2), 713-720. http://dx.doi.org/ 10.1016/j.cnsns.2011.03.042

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Communications In Nonlinear Science And Numerical Simulation

Volume

17

Issue

2

Start Page

713

End Page

720