Droplet condensation and isoperimetric towers
Matteo Novaga, Andrei Sobolevski, Eugene Stepanov
TL;DR
This paper investigates a variational problem related to crystal growth in saturated solutions, explicitly constructing and characterizing minimizers within a convex domain.
Contribution
It provides an explicit construction and complete characterization of minimizers for a variational problem inspired by crystal growth.
Findings
Explicit minimizers constructed and characterized
Connections to statistical mechanics of crystal growth
Insights into geometric properties of solutions
Abstract
We consider a variational problem in a planar convex domain, motivated by statistical mechanics of crystal growth in a saturated solution. The minimizers are constructed explicitly and are completely characterized.
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