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arXiv · 1912.00059

Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem

Jan Bouwe van den Berg·JF Williams
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Abstract

We consider the problem of rigorously computing periodic minimizers to the Ohta-Kawasaki energy. We develop a method to prove existence of solutions and determine rigorous bounds on the distance between our numerical approximations and the true infinite dimensional solution and also on the energy. We use a method with prescribed symmetries to explore the phase space, computing candidate minimizers both with and without experimentally observed symmetries. We find qualitative differences between the phase diagram of the Ohta-Kawasaki energy and self consistent field theory when well away form the weak segregation limit.

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Jan Bouwe van den Berg, JF Williams. 2019-11-29. Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem. https://arxiv.org/abs/1912.00059

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