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Tien Vo

Publications and source records attributed to Tien Vo.

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Stochastic diffusion of electrons interacting with whistler-mode waves in the solar wind

Effects of increasing whistler amplitude and propagation angle are studied through a variational test particle simulation and calculations of the resonance width. While high amplitude and oblique whistlers in typical 1 AU solar wind parameters are capable of forming an isotropic population without any additional processes, anomalous interactions with quasi-parallel whistlers may be essential to the process of halo formation near the Sun. High amplitude and quasi-parallel whistlers can scatter strahl electrons to low velocities (less than the wave phase velocity) to form a halo population, as long as their amplitude is sufficiently high. We also present in detail a careful treatment of the sensitivity to initial conditions based on calculations of the phase space volume, which is necessary for numerical calculations of highly stochastic motion due to resonant interactions with large amplitude waves. Our method ensures that the volume-preserving characteristic of the Boris algorithm is consistently applied for simulations of both stochastic and non-stochastic particle motion.

astro-ph.SR

Utilizing the Hamiltonian dynamics to study resonant interactions of whistler-mode waves and electrons in the solar wind

The role of large amplitude whistler waves in the energization and scattering of solar wind electrons has long been an interesting problem in Space Physics. To study this wave-particle interaction, we developed a vectorized test particle simulation with a variational calculation of the Lyapunov exponents. From using secular perturbation theory on this Hamiltonian system of wave and particle, we confirmed that the pitch angle diffusion of the particle was along the constant Hamiltonian surface and that it was driven by the interaction with the resonance surfaces. We also showed that oblique whistlers could efficiently scatter field-aligned strahl electrons into the halo population in the solar wind. We demonstrated through simulation that these waves were capable of generating horn-like features in the velocity distribution function, similar to recent PIC simulation results in the literature.

astro-ph.SR

Modeling interactions of narrowband large amplitude whistler-mode waves with electrons in the solar wind inside ~.3 AU and at 1 AU using a particle tracing code

The discovery of large-amplitude narrowband whistler-mode waves at frequencies of tenths of the electron cyclotron frequency in large numbers both inside ~.3 AU and at ~1 AU provides an answer to longstanding questions about scattering and energization of solar wind electrons. The waves can have rapid nonlinear interactions with electrons over a broad energy range. Counter-propagation between electrons and waves is not required for resonance with the obliquely propagating waves in contrast to the case for parallel propagation. Using a full 3d particle tracing code, we have examined interactions of electrons with energies from 0 eV to 2 keV with whistler-mode waves with amplitudes of 20 mV/m and propagation angles from 0 to 180 degrees to the background magnetic field. Interactions with wave packets and single waves are both modeled based on observations at ~.3 AU and 1 AU. The simulations demonstrate the key role played by these waves in rapid scattering and energization of electrons. Results provide evidence for nonlinear effects, indicating that quasi-linear methods are not adequate for modeling the role of whistlers in the evolution of solar wind electrons. Strong scattering and energization for some initial energy and pitch angle ranges occurs for both counter-propagating and obliquely propagating waves. The strong scattering of strahl electrons counteracts the pitch angle narrowing due to conservation of the first adiabatic invariant as electrons propagate away from the sun into regions of smaller magnetic field. Scattering also produces the hotter isotropic halo. The concomitant limiting of the electron heat flux is also relevant in other astrophysical settings.

astro-ph.SR