A unified model of mean-time-to-failure for electromigration, thermomigration, and stress-migration based on entropy production

Abstract

We have revisited Black's equation of mean-time-to-failure (MTTF) for electromigration from the viewpoint that in irreversible processes, entropy production is the controlling behavior. We justify that the power factor on current density is n = 2, as given in the original Black's equation. Furthermore, on the basis of entropy production, we provide a unified model of MTTF for thermomigration and stress-migration. We note that up to now, no MTTF for thermomigration and stress-migration is given. Published under license by AIP Publishing.