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Equilibrium shapes of crystals attached to walls |
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| Authors: | R. Kotecký C. -E. Pfister |
| Affiliation: | (1) Center for Theoretical Study, Charles University, 130 00 Prague 3, Czech Republic;(2) Department of Theoretical Physics, Charles University, 180 00 Prague 8, Czech Republic;(3) Département de Mathématiques, EPFL, CH-1015 Lausanne, Switzerland |
| Abstract: | We discuss equilibrium shapes of crystals attached to walls. Optimal shapes for different configurations of walls are found and the minimality of the overall surface tension is proven with the help of a simple geometrical argument based on the isoperimetric inequality and monotonicity. Stability results in the form of Bonnesen inequalities are obtained in the two-dimensional case. |
| Keywords: | Wulff's construction equilibrium crystal shapes Winterbottom's construction |
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