%0 Journal Article
%T Evolution of the ABC model among the segregated configurations in the zero-temperature limit
%A Ricardo Misturini
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1403.4981v2