  We present an extensive direct numerical simulation of statistically steady,
homogeneous, isotropic turbulence in two-dimensional, binary-fluid mixtures
with air-drag-induced friction by using the Cahn-Hilliard-Navier-Stokes
equations. We choose parameters, e.g., the surface tension, such that we have a
droplet of the minority phase moving inside a turbulent background of the
majority phase. We characterize the deformation of the droplet and show that it
displays multifractal dynamics. The probability distribution functions of the
components of the acceleration of the center of mass of the droplet exhibit
wide, non-Gaussian tails. Our study reveals that the droplet enhances the
energy spectrum $E(k)$ when the wavenumber $k$ is large; this enhancement leads
to dissipation reduction.
