Posting this here from another thread for more visibility.

I get constant crashes here. Not only does the game crash but it locks up my whole computer with a loud buzzing sound then the whole thing shuts down, this usually happens within minutes of logging in, but sometimes I can play for a short while. I've tried the newest drivers, beta drivers and older drivers and always the same thing. I've cleaned inside my case and reseated components, I've done fresh installs of the OS and the game and I've even blocked windows updates after a clean install to see if that might have been the problem and still the same thing happens. I've disconnected all other devices from my PC and I have nothing else installed except for the drivers and ARR.

As others have said The alpha and beta went smoothly and apart from server issues so did early access. This seems to have arisen since an update a few weeks ago however for a short while I didn't receive any crashes; but now they are back as bad as they were originally.

GTX 570 (stock) GPU
AMD Phenom II X4 955 Black Edition CPU
Corsair Vengeance 8GB RAM
Corsair TX 750 PSU
SanDisk 120GB SSD
Windows 7 Home Basic x64