I will discuss Ising ferromagnets endowed with a zero-temperature non-conservative spin-flip dynamics. A ground state is surely reached only in one dimension, while more unexpected behaviors occur in higher dimensions. In the second part of the talk I will describe how interfaces evolve at zero-temperature. An interface separating different phases approaches (after re-scaling) to a deterministic limiting shape; in the simplest situations, e.g. starting from a quadrant, a finger, or a square of one phase in the sea of the other phase, I show how to compute these limiting shapes.

Department of Physics, Boston University