| Sign In to gain access to subscriptions and/or personal tools. |
Parameter Dependence of Multiscale Systems and Nanostructures on CrystalsETH Zürich, Department of Mathematics, Rämistrasse 101, 8092 Zürich, Switzerland
MPI for Mathematics in the Sciences Inselstr. 22, 04103 Leipzig, Germany
In the first part of this article (Sections 1 and 2) we study atomic steps on surfaces of crystals. The crystals under consideration are called "unorthodox" since their atomic steps form increasingly fine nanostructures when the temperature decreases. Using a physical model for the shape of atomic steps on the surface of these crystals (the HMM-model) we perform numerical simulations for terrace- and islandlike shapes of atomic steps. In the second part of this article (Section 3) we present a method for obtaining information on the parameter dependence of multiscale systems by means of
Key Words: surfaces of crystals • step-terraces • unorthodox crystals • variational problems •
This version was published on October
1, 2007 Mathematics and Mechanics of Solids, Vol. 12, No. 5,
513-525 (2007) |
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
 |
|
|
 |
|
Sign In to gain access to subscriptions and/or personal tools.
-convergence. We apply this concept to derive partial information on the temperature dependence of some of the physical constants in the HMM-model and reveal a more complicated interplay of the various parameters than originally expected. Our method may prove useful also in other physical problems with multiple scales.