On the origin of compressive turbulence in protoclumps in high redshift disks
The giant, star forming clumps in gas-rich, high redshift disks are commonly assumed to form due to gravitational instabilities, in which protoclumps have a Toomre-$Q$ parameter less than unity. However, some cosmological simulations show that clumps can form in regions where $Q\gg1$. In these simulations, there is an excess of compressive modes of turbulence that lead to gravitational collapse of regions that were not supposed to gravitationally collapse, according to linear theory. In contrast, sites of clump formation in isolated simulations do not show this excess, hinting that the origin may be external. We explore two external mechanisms that can induce compressive modes of disk turbulence in protoclumps, namely, compressive tides exerted by the cosmological environment and the direct driving by inflowing streams. We correlate the local strength of compressive tides and the amount of fresh stream material with protoclump regions in zoom-in cosmological simulations. The local strength of compressive tides is derived from the tidal tensor. The local strength of incoming streams is derived from the fractional presence of the stream compared to the average. We find that the tidal field in protoclumps tends to be over-compressive while random patches in the disk show diverging tides. In particular, in $25\%$ of the protoclumps, the tidal field is fully compressive, while no random patch resides in regions of fully compressive tides. In addition, protoclumps tend to reside in regions where the fraction of incoming stream mass is 2-10 times larger than the average at the same galactocentric radius. Both compressive tides and inflowing streams are correlated with the protoclumps and can thus serve as the drivers of excessive compressive turbulence that can initiate clump formation. This constitutes a new, non-linear mode of violent disk instabilities in high-$z$ galaxies.