Statistical signatures of interstellar turbulence in dust polarization maps

We present results from a high-resolution interstellar turbulence simulation and show that it closely reproduces recent $Planck$ measurements. Our model captures the scaling of $EE$ and $BB$ spectra, and the $EE\mathrm{/}BB$ ratio in the inertial range. The probability density function of the dust polarization fraction is also consistent with observations. The $TE$ cross-correlation is in broad agreement with the $Planck$ sky. This simulation provides new insights into the physical origins of the observed $E\mathrm{/}B$ asymmetry and positive $TE$ signal, facilitating the development of advanced Galactic dust emission models for current and future cosmic microwave background experiments.