Hamiltonian and Brownian systems with long-range interactions : III . The growth of correlations from the BBGKY hierarchy

We discuss the growth of correlations in systems with weak long-range interactions. Starting from the BBGKY hierarchy, we determine the evolution of the two-body correlation function by using an expansion of the solutions of the hierarchy in powers of 1/N in a proper thermodynamic limit N → +∞. These correlations are responsible for the “collisional… (More)