  Using fluctuating hydrodynamics we investigate the effect of thermal
fluctuations in the dissipation range of homogeneous, isotropic turbulence.
Simulations confirm theoretical predictions that the energy spectrum is
dominated by these fluctuations at length scales comparable to the Kolmogorov
length. We also find that the extreme intermittency in the far-dissipation
range predicted by Kraichnan is replaced by Gaussian thermal equipartition.
