  In the previous study (arXiv:2303.00479), we have derived a Floquet classical
master equation (FCME) to treat nonadiabatic dynamics near metal surfaces under
Floquet engineering. We have also proposed trajectory surface hopping algorithm
to solve the FCME. In this study, we map the FCME into a Floquet Fokker-Planck
equation in the limit of fast Floquet driving and fast electron motion as
compared to nuclear motion. The Fokker-Planck equation is then being solved
using Langevin dynamics with explicit friction and random force from the
nonadiabatic effects of hybridized electron and Floquet states. We benchmark
the Floquet electronic friction (FEF) dynamics against Floquet quantum master
equation (FQME) and Floquet surface hopping (FSH). We find that Floquet driving
results in violation of the second fluctuation-dissipation theorem, which
further gives rise to heating effects.
