Glassy dynamics in interface growth: aging, fluctuation disipation and thermal avalanches

In this work we study the KPZ interface growth equation subjected to both quenched and anealed disorder. We find that the interface dynamics shows a glassy behavior in the regime of low temperatures and low external force, a regime commonly known as creep in the superconductor literature. We also describe how the temperature affects to the avalanches in the front development.