Investigation of classical and Bohm diffusion by N-body charged particle simulation employing Kepler's analytical solutions

Analytical solutions from Kepler's laws of planetary motion are applied to binary Coulomb collisions at close encounters of two charged particles [1] and incorporated into N-body plasma simulation. Diffusion process of electrons diffusion in a background magnetic field (ion motions are self-consistenly included as well) is investigated. The diffusion rate follows analytical prediction very closely in two- dimensions. When the collision frequency becomes comparable to the electron cyclotron frequency, Bohm diffusion is observed [2]. Roles of electron–electron collisions is discussed which can play roles in enhancing electron transport. The N-body simulation is extended to three-dimensions [3].