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Showing 1 to 6 of 6 for “"Adiabatic invariant"”.
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A Computational Framework for Dimensionally Reduced Particle Dynamics in Magnetic Nozzle Fields: An Adiabatic Invariant Approach
… to one dimension through the introduction of an adiabatic invariant J, which characterizes periodic radial motion. The validity of this dimensional reduction is evaluated using the adiabaticity parameter η, which quantifies how slowly the system parameters vary compared to the oscillation …
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Resonances and Mixing in Confined Time-dependent Stokes Flows: The experiments, Numerics, and Analytics
… the intrinsic symmetries of the flow create invariant surfaces that act as barriers to mixing. Thus, a key to efficient mixing is to add to the original (symmetric) flow a certain kind of perturbation that destroys those symmetries. In this dissertation, two ways of obtaining mixing in 3D …
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Global Structure of the Nightside Proton Precipitation during Substorms using Simulations and Observations
… regions of thin strong current sheets, the first adiabatic invariant of protons can be violated leading to pitch angle diffusion into the loss cone and ultimately auroral precipitation. The central plasma sheet typically provides a stretched enough magnetic field configuration to account for the …
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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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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 …
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Dynamics of bouncing rigid bodies and billiards in the spaces of constant curvature
… rotates fast, we prove that the system has an adiabatic invariant. In case the two masses of the dumbbell are equal, we assume gravity in the system and study its infinitely many collisions. In particular, we analytically verify that a Smale horseshoe structure is embedded in the billiard map …