  We use deep adaptive mesh refinement simulations of isothermal
self-gravitating supersonic turbulence to study the imprints of gravity on the
mass density distribution in molecular clouds. The simulations show that the
density distribution in self-gravitating clouds develops an extended power-law
tail at high densities on top of the usual lognormal. We associate the origin
of the tail with self-similar collapse solutions and predict the power index
values in the range from -7/4 to -3/2 that agree with both simulations and
observations of star-forming molecular clouds.
