The heat dissipation in integrated circuits problem has gained an increasing interest in recent years due to the miniaturization of semiconductor devices.
The temperature increase becomes relevant for cases of relatively small-cross-sections wires, because such temperature increase may affect the normal behavior of semiconductor devices.
It relates the flux of heat in space, its variation in time and the generation of power.
is the specific heat the thermal diffusivity and
is the rate of heat generation per unit volume.