Galactic dust evolution with rapid dust formation in the interstellar
  medium due to hypersonic turbulence
  Turbulence can significantly accelerate the growth of dust grains by
accretion of molecules. For dust dynamically coupled to the gas, the growth
rate scales with the square of the Mach number, which means that the growth
timescale can easily be reduced by more than an order of magnitude. The
limiting timescale is therefore rather the rate of molecular cloud formation,
which means that dust production in the ISM can rapidly reach the levels needed
to explain the dust masses observed at high redshifts. Thus, turbulence may be
the solution to the replenishment problem in models of dust evolution in
high-redshift galaxies and explain the dust masses seen at $z = 7 - 8$. A
simple analytic galactic dust-evolution model is presented, where grain growth
nicely compensates for the expected higher rate of dust destruction by
supernova shocks. This model is simpler, relies on fewer assumptions and seems
to yields a better fit to data derived from observations, compared to previous
models of the same type.
