 01378 F. Manzo
 Infinitevolume Metastability: on the shape of early droplets
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Oct 16, 01

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Abstract. We study a very simple model for nucleationandgrowth in infinite volume
in the lowtemperature 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 finitevolume
formation rate of the finitevolume droplet.
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