ABSTRACT

While we have reduced the BBGKY hierarchy to two equations in two unknowns by neglecting three-body correlations, the two equations are so complicated that we can learn little from them as they are virtually unsolvable. We will thus begin making a series of approximations, which are generally quite good except for exceptional cases, and finally obtain a solution of this reduced problem. One of the fundamental concepts in the approximation has to do with our assumption that a large angle collision is the result of many small collisions, so that trajectories are only changed a small amount in a single encounter. This was dependent upon the plasma parameter being large, so the largeness of ND (or Λ = 9ND) will be our fundamental assumption.