I believe you might be thinking of Black's equation? [1]. It's one equation which attempts to model the failure rate due to electron migration. It isn't a physical model but it seems to, with the right constants, fit reasonably well. The 10C=>halving life time is going to depend on the constants though.
Ah, must be. Though it wasn't mentioned by name in the source[1] I found earlier the equation seems to match. Instead they attribute it to Arrhenius, but I guess Black's equation is a special case.
[1] https://en.wikipedia.org/wiki/Black's_equation