  Spreading of nano-droplets is an interesting and technologically relevant
phenomenon where thermal fluctuations lead to unexpected deviations from
well-known deterministic laws. Here, we apply the newly developed fluctuating
non-ideal lattice Boltzmann method [Gross et al., J. Stat. Mech., P03030
(2011)] for the study of this issue. Confirming the predictions of Davidovich
and coworkers [PRL 95, 244905 (2005)], we provide the first independent
evidence for the existence of an asymptotic, self-similar noise-driven
spreading regime in both two- and three-dimensional geometry. The cross over
from the deterministic Tanner's law, where the drop's base radius $b$ grows (in
3D) with time as $b \sim t^{1/10}$ and the noise dominated regime where $b \sim
t^{1/6}$ is also observed by tuning the strength of thermal noise.
