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Название: Equilibrium Shapes of Crystals in a Gravitational Field: Crystals on a Table
Авторы: Avron J.E., Taylor J.E., Zia R.K.P.
We consider the variational problem associated with the equilibrium shape of crystals resting on a table in a gravitational field. For two-dimensional crystals the shape can be calculated explicitly, i.e., reduced to quadrature. In three dimensions only qualitative results are available. The most interesting new result is that for large crystals, under suitable conditions, the top may be a corrugated facet or curved surface. The motivation for this work comes from low-temperature experiments on helium crystals in equilibrium with the superfluid.