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arXiv · 2010.05849

Anisotropic Surface Tensions for Phase Transitions in Periodic Media

Rustum Choksi·Irene Fonseca·Jessica Lin·Raghavendra Venkatraman
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Abstract

This paper establishes bounds on the homogenized surface tension for a heterogeneous Allen-Cahn energy functional in a periodic medium. The approach is based on relating the homogenized energy to a purely geometric variational problem involving the large scale behaviour of the signed distance function to a hyperplane in periodic media. Motivated by this, a homogenization result for the signed distance function to a hyperplane in both periodic and almost periodic media is proven.

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Rustum Choksi, Irene Fonseca, Jessica Lin, Raghavendra Venkatraman. 2020-10-12. Anisotropic Surface Tensions for Phase Transitions in Periodic Media. https://arxiv.org/abs/2010.05849

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