| Abstract: |
| In this talk I will discuss a variational model for the energy of inter-crystalline boundaries that arise from differences in atomic spacing. The functional is a variant of the well-known Lauteri-Luckhaus energy for the proof of the Read-Shockley formula for tilt grain boundaries.
In the case of semi-coherent interfaces (i.e., with small misfit between the crystal lattices), we show that the interfacial energy scales super-linearly with the misfit parameter, thus justifying in a more general setting the results of van der Merwe. |
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