Long-ranged correlations in strongly and extremely magnetized plasmas

A collection of charges needs to be larger than a certain size in order for it to be considered a plasma. This thesis addresses this plasma size requirement when a strong magnetic field is present. In a uniform magnetic field, charged particles move in a spiraling motion along the field. Perpendicular to the field, the particle's motion is circular. When the magnetic field strength increases, the radius of this circular motion becomes smaller. Traditional theories assume that the radius of the circular motion is larger than the distance at which charged particles interact. This type of plasma is referred to as weakly magnetized. In a strongly magnetized plasma, the magnetic field is strong enough that the radius becomes shorter than the distance of interaction. This situation causes profound differences in the microscopic physics which leads to macroscopic properties that is not well described by the traditional theories. In this thesis, the microscopic physics affect on the macroscopic properties in strongly magnetized plasmas are studied using classical molecular dynamics simulations. These simulations place charged particles into a box and track their positions and velocities over time as they interact with each other. From the simulations the macroscopic property of diffusion was calculated. The results show that the size of the simulation box greatly affected the diffusion calculation when the charged particles were strongly magnetized. This dependence of the diffusion on the size of the simulation box was a result of particles spiraling tighter along the magnetic field causing them to move longer distances in-between collisions. These results suggest a collection of charged particles in a strong magnetic field has a larger plasma size criterion than a system without the magnetic field.