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arXiv · 2304.01866

Minimizing the free energy

Emanuel Indrei·Aram Karakhanyan
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Abstract

We prove the sharp quantitative stability in the radial isotropic Almgren problem. In addition, we develop a theory for estimating the sharp modulus in the context of minimal assumptions on the surface tension and the potential and obtain the sharp $\epsilon^2$ in any dimension. Inter-alia, we also solve the problem of calculating the critical mass which was only a priori assumed to exist and which breaks the mass regime into two sets: the one where the energy is concave and the one where it is convex.

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Emanuel Indrei, Aram Karakhanyan. 2023-04-04. Minimizing the free energy. https://arxiv.org/abs/2304.01866

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