EQUILIBRIUM SHAPES OF CRYSTALS ATTACHED TO WALLS

Authors
KOTECKY R PFISTER CE
Citation
R. Kotecky et Ce. Pfister, EQUILIBRIUM SHAPES OF CRYSTALS ATTACHED TO WALLS, Journal of statistical physics, 76(1-2), 1994, pp. 419-445
Citations number
25
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
76
Issue
1-2
Year of publication
1994
Pages
419 - 445
Database
ISI
SICI code
0022-4715(1994)76:1-2<419:ESOCAT>2.0.ZU;2-G
Abstract
We discuss equilibrium shapes of crystals attached to walls. Optimal s hapes for different configurations of walls are found and the minimali ty of the overall surface tension is proven with the help of a simple geometrical argument based on the isoperimetric inequality and monoton icity. Stability results in the form of Bonnesen inequalities are obta ined in the two-dimensional case.