  The dewetting of thin nanofilms is significantly impacted by thermal
fluctuations, liquid-solid slip, and disjoining pressure, which can be
described by lubrication equations augmented by appropriately scaled noise
terms, known as stochastic lubrication equations. Here molecular dynamics
simulations along with a newly proposed slip-generating method are adopted to
study the instability of nanofilms with arbitrary slip. These simulations show
that strong-slip dewetting is distinct from weak-slip dewetting by faster
growth of perturbations and fewer droplets after dewetting, which can not be
predicted by the existing stochastic lubrication equation. A new stochastic
lubrication equation considering the strong slip boundary condition is thus
derived using a long-wave approximation to the equations of fluctuating
hydrodynamics. The linear stability analysis of this equation, i.e., surface
spectrum, agrees well with molecular simulations. Interestingly, strong slip
can break down the usual Stokes limits adopted in weak-slip dewetting and bring
the inertia into effect. The evolution of the standard deviation of the film
height $W^2(t)={\overline{h^2}-{\overline{h}}^2}$ at the initial stage of the
strong-slip dewetting is found to be $W\sim t^{1/4}$ in contrast to $W\sim
t^{1/8}$ for the weak-slip dewetting.
