1.46$. The temperature of the peak coincides with the mode coupling $T_C=0.303$ that we deduced from the intermediate scattering function data. Longer run times lead to a sharper peak in the specific heat as can be seen in Figure \[fig:spht\_8\_time\] which shows the specific heat for 512 particles for several different measuring times. The peaks would presumably be sharper if we had used a finer temperature scale. At high temperatures the agreement between the different times is very good. Perera and Harrowell [@Perera99] have found a specific heat peak in a two dimensional binary mixture of soft spheres. They argue that their peak is an equilibrium feature. However, in our case, at temperatures below the peak, the system has fallen out of equilibrium and has become trapped in a basin in the energy landscape. We shall see this later by examining the energy of the inherent structures (potential energy minima) as a function of temperature. Thus the fact that the peak in the specific heat occurs at or very close to the mode coupling $T_C$ is a result of the relaxation times (see Fig. \[fig:mct\_tau\]) becoming comparable to and exceeding the simulation run times as the temperature drops below $T_C$. 