Abstract
Particle simulations of bounded plasmas require assumptions on the distribution function of the incoming particles at the plasma–surface interface. Two independent distributions are usually defined, one angular and one energy dependent, disregarding the unified distribution as a whole. In this paper, two types of angular distribution (isotropic and cosine-type) and three types of energy distribution (energy dependent, uniform, and mono-energetic) are compared in a correlated manner via the resulting velocity distribution functions. Examples of incorrectly defined angular distributions are included. Numerical algorithms are indicated for the generation of the discussed distributions. Calculations of the incoming average velocity of the particles, directed perpendicularly to the surface, show the effect of each distribution on subsequent calculations.
Highlights
Numerical simulations have become an important component of scientific research, sometimes being as important as the experimental study or theory
The speed is inferred by an energy distribution function (EDF), while the direction is set according to an angular distribution function (ADF)
Integrating the solid-angle probability function (SAPF) over all azimuthal angles will result in the polar-angle probability function (PAPF), which is defined as the number of particles emitted from the surface in a unit polar angle divided by the total number of particles, gθ(θ)
Summary
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