Use the Plasma Equation to Find the Statistical Distribution Laws of Unbalanced Systems

Abstract

The plasma equation of motion of particles in the presence of afield potential per particle and a pressures force beside a resistive force have been used to find a useful expression of thermal pressure and non-thermal pressure. Another expression of ordinary Maxwell-Boltzmann distribution and Maxwell-Boltzmann distribution with stands for the kinetic energy is derived from the plasma equation with respect to x due to the potential changes only and due to potential changes with change in the density of the number of particles respectively. For non-uniform temperature systems, and non-uniform potential energy per particle, the statistical distribution law is described. This relation is different from where the temperature is assumed to be uniform when the thermal pressure changes due to the temperature change. The statistical distribution law is described when the thermal pressure change due to the temperature change. This relation is different from where the thermal pressure changes due to the change of both particle number density and temperature in this case the plasma equation. Also Statistical Distribution Law from the Plasma Equation in the Presence of Friction has been derived.