Chavanis, Pierre-Henri - In: Physica A: Statistical Mechanics and its Applications 377 (2007) 2, pp. 469-486
We present a kinetic theory for one-dimensional inhomogeneous systems with weak long-range interactions. Starting from the Klimontovich equation and using a quasilinear theory valid at order 1/N in a proper thermodynamic limit N→+∞, we obtain a closed kinetic equation describing the...