Average atom transport properties for pure and mixed species in the hot and warm dense matter regimes Phys. Plasmas 19, 102709 (2012) Hot-electron generation by "cavitating" Langmuir turbulence in the nonlinear stage of the two-plasmon-decay instability Phys. Plasmas 19, 102708 (2012) Spherical torus equilibria reconstructed by a two-fluid, low-collisionality model Phys. Plasmas 19, 102512 (2012) Space-charge-based electrostatic plasma confinement involving relaxed plasma species Phys. Plasmas 19, 102510 (2012) Numerical study of the characteristics of the ion and fast atom beams in an end-Hall ion source J. Appl. Phys. 112, 083301 (2012) Additional information on Phys. Plasmas The kinetic evolution of a one-dimensional electrostatic plasma is discussed, comparing the different predictions of three kinetic models: the Vlasov model, the Lenard-Balescu model, and the exact transport model. The attention is focused on the Lenard-Balescu approach whose properties are studied in detail. The kinetic parameters present in the Lenard-Balescu collision operator are studied analytically and the kinetic equation with the Lenard-Balescu collision operator is solved numerically. The numerical solutions are compared with the results of an exact microscopic model and found in remarkable agreement.