Droplet motion for the conservative 2D Ising lattice gas dynamics below the critical temperature

We consider the 2D Ising lattice gas in a square of side L with free bounda ry conditions, temperature below the critical one and particle density slig htly above the density of the vapour phase. Typical configurations consist of a quarter of a Wulff droplet of the liquid phase centred at one of the c orners of the given square. We then introduced a reversible Markovian spin exchange dynamics, also known as Kawasaki dynamics, on the configuration sp ace and we discuss the heuristics of the transition of a bubble of the liqu id phase from one corner to another. We then present some numerical evidenc e suggesting that the preferred mechanism to make the transition is via eva poration of the original bubble and simultaneous reconstruction of a new bu bble around a new corner.