We consider the n-dimensional space homogeneous Boltzmann equation for elastic collisions for variable hard potentials with Grad (angular) cutoff. We prove sharp moment inequalities, the propagation of L-Maxwellian weighted estimates, and consequently, the propagation L-Maxwellian weighted estimates to all derivatives of the initial value problem associated to the afore mentioned problem. More ...

We demonstrate that a nonthermal distribution of particles described by a kappa distribution can be accurately approximated by a weighted sum of Maxwell–Boltzmann distributions. We apply this method to modeling collision processes in kappa-distribution plasmas, with a particular focus on atomic processes important for solar physics. The relevant collision process rate coefficients are generated...

We derive the current-voltage relationship in the auroral region taking into account magnetospheric electrons for the bi-Maxwellian and kappa source plasma distribution functions. The current-voltage formulas have in principle been well known for a long time, but the kappa energy ̄ux formulas have not appeared in the literature before. We give a uni®ed treatment of the bi-Maxwellian and kappa d...

Context. Thermal X-ray spectra of clusters of galaxies and other sources are commonly calculated assuming Maxwellian electron distributions. There are situations where this approximation is not valid, for instance near interfaces of hot and cold gas and near shocks. Aims. The presence of non-thermal electrons affects the X-ray spectrum. To study the role of these electrons in clusters and other...

Title of dissertation: MICROTURBULENT TRANSPORT OF NON-MAXWELLIAN ALPHA PARTICLES George John Wilkie, Doctor of Philosophy, 2015 Dissertation directed by: Professor William Dorland Department of Physics A burning Deuterium-Tritium plasma is one which depends upon fusion-produced alpha particles for self-heating. Whether a plasma can reach a burning state requires knowledge of the transport of a...

An isothermal tokamak, Isomak, is investigated to demonstrate that nearly exact, rigidly toroidally rotating Maxwellian solutions exist for both the ions and the electrons. For the ions this Maxwellian solution is valid in the limit in which unlike collisions of the ions with the electrons are weak and the induced electric field unimportant, while for Maxwellian electrons unlike collisions can ...

where is the mass operator of the one-particle Green function. After integrating in d the product of fQ( , p) and the Maxwellian energy distribution, we obtain a momentum distribution with an enhanced high-momentum tail. Although this approach produces a deviation from the MB distribution, the state represented by fQ(p) is an equilibrium state [11, 12]. The Maxwellian distribution is recovered ...