Athermal Jamming Vs Thermalized Glassiness in a Simple Model of Soft-Core Interacting Particles

Numerical simulations of soft-core frictionless disks in two dimensions are carried out to study shear viscosity $\eta$ and pressure $p$ of a simple model liquid, as a function of thermal temperature $T$, packing fraction $\phi$, and uniform applied shear strain rate $\dot\gamma$. We find that viscosity in the athermal hard-core limit, $\lim_{\dot\gamma\to 0}[\lim_{T\to 0} \eta]$, is singularly disconnected from viscosity in the hard-core thermal limit, $\lim_{T\to 0}[\lim_{\dot\gamma\to 0} \eta]$, demonstrating that thermal glassy behavior is not governed by the athermal jamming critical point, ``point J".