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Showing 1 to 9 of 9 for “"Adiabatic invariants"”.
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The theory of adiabatic invariants in statistical mechanics
Thesis (B.S.) Massachusetts Institute of Technology. Dept. of Mathematics, 1956.
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Modeling the formation of current sheets in symmetric and asymmetric reconnection
… phase space distribution function based on adiabatic invariants. We then apply this two model problems-Fermi acceleration and electron trapping-to extend previous results in these areas and model their effects on parallel heating. Following this, we run a battery of simulations of …
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Development and Application of Stochastic Methods for Radiation Belt Simulations
… electron phase space density as a function of adiabatic invariants M, K and L. Based on this theory, a three-dimensional radiation belt electron model in adiabatic invariant coordinates, named REM (for Radbelt Electron Model), is constructed and validated against both known results from other …
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Modelling the Exposure of Satellites in Medium Earth Orbit to Proton Belt Radiation
… density in terms of the first, second and third adiabatic invariants μ, K and L. This chapter demonstrates how key processes can be quantified, including transport via radial diffusion, the cosmic ray albedo neutron decay source and coulomb collisional loss. In Chapter 4, a 2D version of the …
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A statistical study of plasmawaves and energetic particles in the outer magnetosphere
… are often described in terms of three kinds of adiabatic invariants. Energetic electrons are often unstable to the whistler-mode chorus waves, and ions, to the electromagnetic ion cyclotron (EMIC) instability. These waves play an important role in the dynamics of the magnetosphere by energizing …
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Frequency chirping of energetic particle driven modes in tokamaks; Self-consistent modelling and simulation
… particles. Such structures found to move adiabatically which implies the particles can be carried with the waves; so called convective transport. During long ranges of frequency chirping, the spatial profile of the wave can change considerably and hence new models are required to study …
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Frequency chirping of energetic particle driven modes in tokamaks; Self-consistent modelling and simulation
… particles. Such structures found to move adiabatically which implies the particles can be carried with the waves; so called convective transport. During long ranges of frequency chirping, the spatial profile of the wave can change considerably and hence new models are required to study …
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Bounded Surfatron Acceleration in the Presence of Random Fluctuations
… which are given by two different sets of invariants. We have determined the necessary conditions for capture and release from resonance for the model without fluctuations, as well as the intrinsic structure of the initial conditions domain for particles in order to be captured. We observed …