  We consider the ABC model on a ring in a strongly asymmetric regime. The main
result asserts that the particles almost always form three pure domains (one of
each species) and that this segregated shape evolves, in a proper time scale,
as a Brownian motion on the circle, which may have a drift. This is, to our
knowledge, the first proof of a zero-temperature limit for a non-reversible
dynamics whose invariant measure is not explicitly known.
