an:06598345
Zbl 1342.60174
Misturini, Ricardo
Evolution of the ABC model among the segregated configurations in the zero-temperature limit
EN
Ann. Inst. Henri Poincar??, Probab. Stat. 52, No. 2, 669-702 (2016).
00356496
2016
j
60K35 60J65 82C20 82C22
ABC model; scaling limits; Brownian motion; metastability; tunneling
Summary: 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 non-reversible dynamics whose invariant measure is not explicitly known.