No, adding more would be bad. What you want to do is to clean off all existing paste (use isopropyl alcohol if you can) and apply a bit of fresh paste.
If you're talking about the layer that comes with a new cooler, you can usually use it directly - you don't need to use your own at all. Replacing paste is only really worthwhile for old paste.
Also, the correct saying here is "less is more"1 :)
With thermal transfer from the integrated head spreader (IHS, the metal on top of the CPU die) to the heatsink, it vaguely goes:
- metal-to-metal contact: best
- metal-paste-metal contact: alright
- metal-air-metal contact: very poor
So your best-case scenario is if you can maximise direct metal contact between the IHS and the heatsink. That means they should be as clean and smooth as possible, and a fair amount of pressure pushing them together.
Now, if direct metal contact is best, why do we have paste? Because it's very difficult to get solid metal smooth enough for perfect contact, so you inevitably end up with lots of tiny air bubbles, resulting in poor transfer. Adding paste fills up these little gaps, but adding too much paste1 will either form a thick layer and prevent direct contact, or will end up getting squished out the side.
Even worse is trying to apply fresh paste on top of existing old/dried paste - that way you have the poor performance of dried paste (which can no longer spread effectively once disturbed) plus an additional layer. It's much better to just clean off the existing gunk first.
1 You'd want enough paste. There's a bit of leeway here, but you also don't want to go squeezing a whole tube in - once you have enough, adding more won't help. Keep in mind that what looks like a tiny bit will actually spread out quite far once pressure is applied - you're squeezing a 3mm-high blob into less than a tenth that height. Optimally, you'd have somewhere maybe a little bit over enough.
For those interested, there's further discussion of specific application techniques and their relative effectiveness here: https://www.pugetsystems.com/labs/articles/Thermal-Paste-Application-Techniques-170/
4Here's a thought: How do you want to apply a thicker layer of thermal paste, if the distance between heatsink and mainboard is pretty much fixed under pressure thanks to the locking mechanism? – Ian – 2017-04-12T11:02:34.493
11
And certainly, not like this: https://gfycat.com/GraciousActiveCoral
– Dai – 2017-04-13T00:51:41.8803
@Dai I told ya guys, the more the merrier: https://img-9gag-fun.9cache.com/photo/abpBb2L_700b.jpg
– Иво Недев – 2017-04-13T15:50:00.470note: Puget Systems posted an excellent article on thermal paste application techniques. tl;dr: best coverage was from an X shape, diagonally from corner to corner atop the chip.
– matt lohkamp – 2017-04-13T23:48:53.263@Dai I, too, like to use mayonnaise as thermal paste. – Derek 朕會功夫 – 2017-04-14T18:27:53.037
1
@mattlohkamp LTT also did thermal-paste application testing, and consistent with Puget's results, it doesn't really matter. Unfortunately, none of them are really scientific, as they only have one trial per condition, so random variations could easily swamp out the 0.25 ℃ difference in measurements. Also note that Puget isn't reporting ambient temperatures, so if they drifted more than a degree or two, all their results are pointless.
– Nick T – 2017-04-14T22:33:58.957absolutely. this shouldn't be taken gospel truth - but if you're wondering where to start, I think it's a fair guide. – matt lohkamp – 2017-04-14T23:46:21.990