I've wondered about the same thing myself and my best guess, based soley on my logic, is as follows;
Firstly the popping and cracking are likely 2 different things happening, though they may happen for the similar reasons.
The popping is easier to figure out I think. Obviously it happens due to heat, it is the sound of expanding gas escaping quickly. The only place I can think of that would trap such gas for any amount of time, thus giving it the ability to expand quickly enough to actually pop would be in the wicking inside the coil. Ideally only the juice in contact with the coil should be being heated but realistically some of that heat will be transferred to the juice still inside the wicking but not in contact with the coil. Enough build up of heat and the juice turns to gas and with no place to go it builds pressure until in can escape, with a pop. How it escapes, through the coil ends or sides I don't know but given this logic it suggests there are several factors that can contribute to more or less popping and maybe someone some day could run tests to determine how to minimize the problem. These factors would include;
- size of the coil, both length and diameter
- tightness vs stretch on the coils of wire
- wicking material
- tight vs loose wicking
- volume of juice actually in the wicking of the coil
- ramp up time of the wire itself
- time of power on vs off
- frequency of firing
Well that's all I can think of at the moment though I'm sure there is more.
The sizzling, cracking, and spitting is most likely also effected by many of the above factors. It appears to be more related to the interaction of the juice in contact with the coil wire itself. I suspect its presence suggests there is too much juice there but I'm sure it is also directly related to both heat/power and heat flux.
One of the reasons why a big solid atty like a Billow or a Boreas is nice is that the popping, crackling, sizzling, and spitting dosen't bother you very much because it is all very much muted. Unlike say a Theorem where with the close proximity of your mouth to the coil and where a good loud pop can scare the bejesus out of you and put lots of juice on your tongue (which is not necessarily a bad thing if you like the taste).