http://arxiv.org/abs/1908.00544
Compressive isothermal turbulence is known to have a near lognormal density probability distribution function (PDF) with a width that scales with the sonic Mach number and nature of the turbulent driving (solenoidal vs compressive). However, the physical processes that mold the extreme high and low density structures in a turbulent medium can be different, with the densest structures being composed of strong shocks that evolve on shorter timescales than the low density fluid. The density PDF in a turbulent medium exhibits intermittency (deviations from lognormal due to shocks), that can increase with the sonic Mach number, which is often ignored in analytic models for turbulence and star formation. We develop a simple model for intermittent turbulence by treating it as a continuous Markov process, which explains both the density PDF and the transient time-scales of structures in turbulence as a function of density. Our analytic model depends on only a single parameter, the effective compressive sonic Mach number, and successfully describes the intermittency seen in both 1D and 3D simulations of supersonic and subsonic compressive isothermal turbulence. The model quantifies the role of intermittency on the distribution of density structures in turbulent environments, and has application to star forming molecular clouds and star formation efficiencies.
P. Mocz and B. Burkhart
Mon, 5 Aug 19
18/53
Comments: 8 pages, 5 figures, submitted to apjl