Abstract
For the description of the nuclation of liquid precipitates in
semi-insulating GaAs we propose a modified
Becker-Doering model that takes thermomechanical coupling into account.
In the model there is considered the deviatoric bulk stresses in the solid,
the surface stress on the
interface between the solid and the liquid phase, and the misfit
situation between both phases.
We determine the structure of equilibrium solutions according to the
Becker\-Doe\-ring model,
and we compare these solutions with those that result from equilibrium
thermodynamics.
Further, we demonstrate that the new model is consistent to second law of
thermodynamics.
In contrast to the new model the existing Becker-Doering models in the literature exhibit discrepancies to the thermodynamics.
In particular, the possible equilibria, if there are any,
contradict the equilibria resulting from a purely thermodynamic point of
view.
After this discussion we apply the modified Becker-Doering
model with thermodynamically consistent transition rates to two
explicit cases: These are the classical liquid/vapour system for a
pure substance, and the liquid/solid system for semi-insulating
GaAs. The main difference of the two systems regards the available
free energies for the corresponding single droplet systems.
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