We study the spreading of a liquid droplet in two dimensions by means
of Monte Carlo simulations of a nonvolatile Ising-lattice-gas model wi
th particle-number conservation. Special attention is devoted to the d
ynamics of the spreading with different substrate-droplet long-range a
ttractive-potential strengths. We study the spreading under both wetti
ng and nonwetting conditions. For wetting conditions there is a precur
sor film of microscopic thickness and a crossover from a regime where
the rate of spreading depends (logarithmically) on the strength of the
long-range potential to one where it does not.