Cyclotron Damping in Magnetized Plasmas
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
The aim of this thesis was to study the cyclotron damping in magnetized plasmas using a different approach to the dielectric tensor that is the stardard way to study this case. In this approach given we deduce a set of coupled differential equations that give us the evolution of the electric field and the distribution function. The system of coupled equations can not be solved analitically, that is why we have found numerical solutions. The algorithm we used to obtain the numerical solutions is the staggered leap-frog method that common used in problems involving electromagnetic fields.
We have studied two cases where we consider two different initial conditions for our distribution function in the velocity space. In the first example we used ˜g(t = 0, v_n) = 0. In this case we found that the electric field decays exponentially and there is phase mixing in the evolution of the distribution function. As second example we used as initial condition the expression ˜g(t = 0, v_n) = E_n/(iv_n −\gamma). In this case the phase mixing is less pronounced compared to the first example, and the electric field start growing until the oscillations of the distribution function start to become important, then the electric field start to decay slowly.
Place, publisher, year, edition, pages
Fusion, Plasma and Space Physics
IdentifiersURN: urn:nbn:se:umu:diva-99662OAI: oai:DiVA.org:umu-99662DiVA: diva2:787475
Master's Programme in Physics