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In this paper, we use two hydrodynamic simulations to study the barycentreoffsets $r_{{\rm off}}$ between the entire halo and the gas or dark mattersubhalo with largest overdensity. We restrict our analysis to those halos withlarge rescaled offsets, i.e. $r_{{\rm off}}/r_{200}\gtrsim 0.05$. The haloswhich 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 withlargest 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 maximumoverdensity and larger gas velocity dispersion $\sigma_{v}^{\rmICM,sub}/\sigma_{200}$ tend to have smaller barycentre offsets $r_{{\rmoff}}/r_{200}$. Similar result is found for the highest overdensity dark mattersubhalos but with less significance. This anti-correlation is more significantfor the snapshot $z=0$ than $z=0.2$ and $0.5$. The underlying physicalmechanism for this anti-correlation remains to be explored.

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