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Convective modes in configuration and velocity space.
Xu, H. Tracking lagrangian trajectories in position velocity space.
Figure 4b presents velocity space distribution of ions at three locations denoted in Fig. 4a.
By designing absorbing outflow boundary conditions in the Fourier transformed velocity space, the highest Fourier modes in velocity space are removed from the numerical solution.
The electron distribution function (EDF) is solution of a Fokker Planck equation in velocity space.
This introduces a dissipative effect in velocity space and the numerical recurrence effect is strongly reduced.
On the other hand, coordinated MMS measurements by four satellites can document detailed local properties including measurements of the velocity space particle distributions.
The HOSVD eigenvalues for the velocity space coordinates decay very rapidly, indicating that only a few structures in velocity space can capture the most important dynamics.
The distribution of collision in velocity space has corresponding features of dependency on the particle property.
This velocity space fragmentation is essential for capturing non-Maxwellian plasma behavior.
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Subsequently, however, we tested whether we could splice together trajectory segments by re-tracking them in a six-dimensional position-velocity space that serves to spread out the potential matches and resolve ambiguities28.
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