G. Oshanin et al., DEWETTING, PARTIAL WETTING, AND SPREADING OF A 2-DIMENSIONAL MONOLAYER ON SOLID-SURFACE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 20-23
We study the behavior of a semi-infinite monolayer, which is placed in
itially on a half of an infinite in both directions, ideal crystalline
surface, and then evolves in time due to random motion of the monolay
er particles. Particles dynamics is modeled as the Kawasaki particle-v
acancy exchange process in the presence of long-range attractive parti
cle-particle interactions. In terms of an analytically solvable mean-f
ield-type approximation we calculate the mean displacement X(t) of the
monolayer edge and discuss the conditions under which a monolayer spr
eads [X(t)>0], partially wets [X(t)=0], or dewets from the solid surfa
ce [X(t)<0].