J. Deconinck et al., SPREADING OF A SOLID-ON-SOLID DROP, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(3), 1993, pp. 1820-1823
We study the spreading of the foot of a two-dimensional drop via Monte
Carlo simulations without conservation law. The profile, or height of
the spreading phase as a function of the distance from the initial dr
op, is described by a solid-on-solid model. For positive spreading coe
fficients, we find a precursor film extending linearly with time, and
thickening as t1/4 due to entropic repulsion. For a vanishing spreadin
g coefficient, i.e., at the wetting transition, the foot of the profil
e is found to scale as t1/2 parallel and perpendicular to the substrat
e, with no precursor asymptote. For partial wetting, relaxation is che
cked against exact results including finite-size effects.