Description:

This project contains documents with some mathematical deductions and explanations related to publication "Hamiltonian description for magnetic field lines in fusion plasmas: A tutorial".

Contact: mmugnaine@gmail.com

Documentations files:

     
 ClebschRepresentaion.pdf  ➱  Clebsch representation of a magnetic field in magnetic flux coordinates 
     
 CylindricalCoordinates.pdf  ➱  Deduction of cylindrical coordinates and the "physical" components of the Magnetic field
     
 EML.pdf  ➱  Hamiltonian function for the Ergodic Magnetic Limiter
     
 EulerMethod.pdf  ➱  Numerical symplectic Euler method used to integrate the equations of motion
     
 Example1.pdf  ➱  Hamiltonian function for a plasma column with radius a and electric current densit with radial symmetry
     
 ExploitationVariationalPrinciple.pdf  ➱  Variational principle for field lines in magnetic flux coordinates
     
 HamiltonianCylindricalCoordinates.pdf  ➱  Hamiltonian function in cylindrical coordinates for the equilibrium magnetic field in  the large aspect ratio approximation
     
 PendulumApproximation.pdf  ➱  Pendulum approximation for the EML Hamiltonian function near the resonance
     
 VariationalPrinciple.pdf  ➱  Hamilton’s variational principle for a massless particle under a pure magnetic field