An anti-correlation between barycentre offsets and velocity dispersion for highest overdensity subhalos in cosmological simulations

In this paper, we use two hydrodynamic simulations to study the barycentre offsets $r_{{\rm off}}$ between the entire halo and the gas or dark matter subhalo with largest overdensity. We restrict our analysis to those halos with large rescaled offsets, i.e. $r_{{\rm off}}/r_{200}\gtrsim 0.05$. The halos which are less massive and at higher redshifts are more likely to have larger $r_{{\rm off}}/r_{200}$. The 3D velocity dispersion of the subhalos with largest overdensity is found to have a similar mass and redshift dependence as $r_{{\rm off}}/r_{200}$. We also find that the gas subhalos with maximum overdensity and larger gas velocity dispersion $\sigma_{v}^{\rm ICM,sub}/\sigma_{200}$ tend to have smaller barycentre offsets $r_{{\rm off}}/r_{200}$. Similar result is found for the highest overdensity dark matter subhalos but with less significance. This anti-correlation is more significant for the snapshot $z=0$ than $z=0.2$ and $0.5$. The underlying physical mechanism for this anti-correlation remains to be explored.