Infinite-volume Metastability: on the shape of early droplets
نویسنده
چکیده
We study a very simple model for nucleation-and-growth in infinite volume in the low-temperature limit. Despite its simplicity, this model exhibits a very rich metastable behavior. Depending on the speed of growth, the system goes trough four different regimes: 1) both the “shape of the critical droplet” and the typical relaxation time are the same as in finite volume. 2) the “shape of the critical droplet” and its “formation rate” are the same as in finite volume but the “relaxation time” is shorter 3) the “shape of the critical droplet” is the same as in finite volume while the nucleation rate is smaller 4) the “shape of the critical droplet” is different from what we have in finite volume and its formation rate is smaller than the finite-volume formation rate of the finite-volume droplet.
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