  In this article, we consider Vlasov-type equations describing the evolution
of single-species type plasmas, such as those composed of electrons
(Vlasov-Poisson) or ions (screened Vlasov-Poisson/Vlasov-Poisson with massless
electrons). We solve the final data problem on the torus $\mathbb{T}^d$, $d
\geq 1$, by considering asymptotic states of regularity
Gevrey-$\frac{1}{\gamma}$ with $\gamma>\frac13$, small perturbations of
homogeneous equilibria satisfying the Penrose stability condition. This extends
to the Gevrey perturbative case, and to higher dimension, the scattering result
in analytic regularity obtained by E. Caglioti and C. Maffei in [14], and
answers an open question raised by J. Bedrossian in arXiv:2211.13707.
