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Level Set Code for Epitaxial Growth
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This code is a level set implementation of the island dynamics model developed in the applied math group at UCLA. This is a model that models epitaxial growth.

The island boundaries are represented by the zero-crossing of the level set function. The velocity of the island boundaries is obtained from solving the diffusion equation for the adatom density on the surface.

In the current implementation, it is a model for irreversible aggregation; i.e., an atom that attaches to an island boundary (or a step edge) attaches there irreversibly, and can not detach anymore. This is realized through the boundary condition that the adatom concentration is zero at the island boundary. Implementation of detachment will be done in a future version of the code.

This code currently is a one species model. Thus, it is best suited to describe homoepitaxial growth. Growth is isotropic, and in fact the present version of the code does not allow for effects such an anisotropies on the surface, or surface reconstructions. This might be implemented in future versions of the code.

Periodic boundary conditions are implemented. The code allows for a perfectly flat (singular) as well as a stepped (vicinal) surface.
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