Abstract
We prove theorems characterizing the minimizers for the Cahn-Hilliard free energy functional, which is used to describe the liquid vapor phase transition (or the 2 state magnetization transition). In particular, we exactly determine the critical density for droplet formation, and the geometry of the droplets.
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Carlen, E.A., Carvalho, M.C., Esposito, R. et al. Droplet minimizers for the Cahn-Hilliard free energy functional. J Geom Anal 16, 233–264 (2006). https://doi.org/10.1007/BF02922115
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DOI: https://doi.org/10.1007/BF02922115