Turbulent power-law spectra in the universe

Turbulence is ubiquitous in astrophysical media and plays an essential role in a variety of fundamental astrophysical processes. The turbulent power-law spectra have been observed in the solar wind, the interstellar medium, the intracluster medium, over a vast range of length scales. In our Galaxy, I will discuss pulsars as a unique tool for statistically studying the turbulence in the multi-phase interstellar medium over different ranges of length scales. For the intergalactic medium, I will introduce fast radio bursts (FRBs) as new tracers to probe the intergalactic turbulence on very large scales. The observations of FRBs hold the valuable information of the large-scale intergalactic turbulence, which has not been explored before.