  Diffusive limit of the one-species Vlasov-Maxwell-Boltzmann system in
perturbation framework still remains unsolved, due to the weaker time decay
rate compared with the two-species Vlasov-Maxwell-Boltzmann system. By
employing the weighted energy method with two newly introduced weight functions
and some novel treatments, we solve this problem for the full range of cutoff
hard potentials $0\leq \gamma \leq 1$. Uniform estimate with respect to the
Knudsen number $\varepsilon\in (0,1]$ is established globally in time, which
eventually leads to the global existence of solutions to the one-species
Vlasov-Maxwell-Boltzmann system and hydrodynamic limit to the incompressible
Navier-Stokes-Fourier-Maxwell system. To the best of our knowledge, this is the
first result on diffusive limit of the one-species Vlasov-Maxwell-Boltzmann
system in perturbation framework.
