I've seen a few theories posted on why this occurs which have been partially correct. The posts are heat sinks at the end of the coil, although this is not sound theory for such an exaggerated heating from the center of the coil. If we were to heat an entire dripper to 1400F and attach a long thick length of wire between the positive and negative posts, the wire will still heat from center outward, (ignoring the wire immediately adjacent to the posts). Why? Because our wires are thermally conductive and heat transfer occurs through conduction as well as convection in a coil while the wire is producing heat energy linearly (not a linear temperature) at the same time creating the ramp bell curve of temperature over the length of wire. This relationship is inversely proportional with the thermal conductivity of, and the square of the diameter, per length, of wire used. Another way to think of it is that the wire itself is increasing it's own temperature by a given amount per watt above what the existing temperature already is.. Imagine a 3" length of wire where if the center 1" of wire increased 1F/sec, and the two on each side also increased 1F/sec, the center portion will increase it's temperature above the temperature increase given to it by the 1" from the left and right, vice from the edge of the wire with less heat transferred to it compare the the center length with two 1" legs on each end. In reality, this last example doesn't actually work really well since there are not 3 divisions of resistive wire lengths creating heat, but a near infinite division of segments heating wire producing and transfering that heat to the next guy. So that's why! I won't beat a dead horse on why the coil legs wont glow, that is the post heat sink's fault.
Fun Fact: temperature bell curves graphed out between uranium matrices, cladding, and coolant looks just like a Darth Vader helmet! (and would for our coils as well)
Fun Fact: temperature bell curves graphed out between uranium matrices, cladding, and coolant looks just like a Darth Vader helmet! (and would for our coils as well)