Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes

Understand

Combining the results of [14] and [10], the trend to equilibrium in large time is studied for a large particle system associated to a Vlasov-Fokker-Planck equation.

• Under some conditions (that allow non-convex confining potentials) the convergence rate is proven to be independent from the number of particles.
• From this are derived uniform in time propagation of chaos estimates and an exponentially fast convergence for the nonlinear equation itself.