Chavanis, Pierre-Henri - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 5, pp. 1123-1154
Starting from the Liouville equation, we derive the exact hierarchy of equations satisfied by the reduced distribution functions of the single species point vortex gas in two dimensions. Considering an expansion of the solutions in powers of 1/N (where N is the number of vortices) in a proper...