Unit:
Department of PhysicsLibrary of the School of Science
Author:
ROUFANI SITARENIOU SOFIA
Supervisors info:
Νεκτάριος Βλαχάκης, Καθηγητής, Τμήμα Φυσικής ΕΚΠΑ
Original Title:
Μελέτη ασταθειών σε μαγνητισμένα ρευστά με χρήση κβαντομηχανικού φoρμαλισμού
Translated title:
Study of instabilities in magnetized fluids using Quantum Mechanical Formalism
Summary:
In this thesis, a "new" way of studying plasma instabilities based on the book "Magneto-hydrodynamics of Laboratory and Astrophysical Plasmas" \cite{Goedbloed_Keppens_Poedts_2019} written by Goedbloed, Keppens and Poedts will be analyzed. Specifically, it is an analysis that exploits tools from Quantum Mechanics and creates a mathematical analogy between an instability problem and a Quantum Mechanical problem whose solution is reduced to the solution of the time-independent Schrödinger equation. Reference will be made to both the static and the stationary equilibrium states from which the powerful tool for studying instability problems called "Spectral Web" will emerge. Finally, in order to understand the usefulness of the method, it will be applied to a simple hydrodynamic problem of Kelvin - Helmholtz instability.
Main subject category:
Science
Keywords:
Plasma, instabilities, Quantum Mechanical Formalism