We
employ molecular dynamics (MD) simulations to study the spreading
and imbibition of a liquid drop on a porous, soft, solvophilic, and
responsive surface represented by a layer of polymer molecules grafted
on a solvophilic solid. These polymer molecules are in a crumpled
and collapsed globule-like state before the interaction with the drop
but transition to a “brush”-like state as they get wetted
by the liquid drop. We hypothesize that for a wide range of densities
of polymer grafting (σg), the drop spreading is dictated
by the balance of the driving inertial pressure and balancing viscoelastic
dissipation (associated with the spreading of the liquid drop on the
polymer layer that undergoes globule-to-brush transition and serves
as the viscoelastic solid). Using the well-known idea that the viscoelastic
resisting force exerted by the viscoelastic solid on a spreading drop
scales as u
n
(where n is the index of the power-law-like rheology of the polymer
layer serving as the viscoelastic solid and u is
the spreading velocity of the drop on this viscoelastic solid) and
considering n = 2/3, we show that the scaling calculation
recovers the MD simulation prediction of r ∼ t
1/4 and r
eq ∼
σg
–1/3 (where r and r
eq are the instantaneous and equilibrium
spreading radii, respectively). We further describe the wicking behavior
of the drop through the polymer layer by appropriately accounting
for the manner in which the progressive time-dependent swelling of
the grafted polymer molecules provides larger space for the wicking.
Third, we quantify, possibly for the first time, the temporal dynamics
of the “brush”-forming process (i.e., capture the dynamics of wetting-mediated globule-to-brush transition).
We show that the dynamics of the polymer chain swelling depends on
σg and is faster for sparser grafting. Most importantly,
we confirm that the height of the relaxed polymer chains approximately
scales as σg
1/3, confirming the attainment
of brush-like configuration by the polymer molecules as they are wetted
by the liquid drop. Finally, we argue that our simulations raise the
possibility of designing soft, “responsive”, and widely
deployable liquid-infused surfaces where the polymer grafted solid,
with the polymer undergoing a globule-to-brush transition, serves
as the responsive “surface”.