We have a name for the thermal energy associated with the change of potential energy during a phase transition. Unless I'm very mistaken, we call this latent heat.
Here we have $Q=mL$.
But what about the ordinary heat, the heat associated with a change in temperature?
Here we have $Q=mc\Delta T$.
Is it just called 'heat'? 'Kinetic heat'? 'Manifest heat'?
Is there currently a name for this if we wanted to call both types of thermal energy 'heat', then one would be 'latent heat' and the other would be .... what?