I let my Peak resting quietly an entire week end in the drawer of my desk while I was enjoying good times elsewhere. Battery was almost full, so you can imagine my surprise when I found it in a blatant brick state instead of the mighty phone I remembered when I came back two days later.
The device was staying stubbornly unresponsive to any of my attempt to bring it back to life. The screen was desperately black, same color for the activity LED on top. I tried removing the battery several times with no chance.
In this case of emergency, a Russian approach to the problem is often to smash the faulty machine on the wall. Hopefully I simply plugged it to the USB power socket and let it for a while. After about 10 minutes a glowing light appeared in the darkness. Peaky had come back from the limbo! Hello there naughty plastic thing.
So to sum up, if you ever experienced these kinds of trouble, stay calm and just try to transfuse some energy to your gizmo for a while to reanimate it.
Now I have to investigate the reason why the battery was drained that much with close to zero activity. I suspect this as something to do with the frequent unneeded Wi-Fi network scanning.