DROPLET MOTION FOR THE CONSERVATIVE 2D ISING LATTICE GAS
DYNAMICS BELOW THE CRITICAL TEMPERATURE
G. FAVRIN, E. MARINARI AND F. MARTINELLI
We consider the 2D Ising lattice gas in a square of side
L with free boundary conditions, temperature below the critical one
and particle density slightly above the density of the vapor
phase. Typical configurations consist of a quarter of a Wulff droplet
of the liquid phase centered at one of the corners of the given
square. We then introduced a reversible Markovian spin exchange
dynamics, also known as Kawasaki dynamics, on the configuration space
and we discuss the heuristics of the transition of a bubble of the liquid
phase from one corner to another. We then present some numerical
evidence suggesting that the preferred mechanism to make the transition
is via evaporation of the original bubble and simultaneous
reconstruction of a new bubble around a new corner.
LU TP 01-10