  In this paper, we are concerned with the global well-posedness and
time-asymptotic decay of the Vlasov-Fokker-Planck equation with local alignment
forces. The equation can be formally derived from an agent-based model for
self-organized dynamics which is called Motsch-Tadmor model with noises. We
present the global existence and uniqueness of classical solutions to the
equation around the global Maxwellian in the whole space. For the large-time
behavior, we show the algebraic decay rate of solutions towards the equilibrium
under suitable assumptions on the initial data. We also remark that the rate of
convergence is exponential when the spatial domain is periodic. The main
methods used in this paper are the classical energy estimates combined with
hyperbolic-parabolic dissipation arguments.
