Nanoestructuras desordenadas |
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Investigación
Miembros
del Grupo
Publicaciones
Nonlinear
model q
= 53.13o, Molybdenum Experiment Nonlinear
model q
= 20.4o, ZnO Experiment |
Investigación
Universality of defects in
periodic phases: nonlinear models of pattern
formation, quasi crystals and real solids. Grain boundaries form when
two monocrystals of different orientations meet and compete for filling
space in a limited region of space, a common situation in materials.
These objects are particularly difficult to study theoretically. We
wish compare the results given by two independent theories, that allow
a systematic description of the geometry of grain boundaries at the
microscopic scale. These theories are based on a priori very distinct
backgrounds and borrow ideas from two fields of physics apparently
unrelated: nonlinear pattern formation and quasi-crystals. The first approach is
directly based on the weakly nonlinear analysis of Swift-Hohenberg-like
models for pattern forming systems. The second approach is essentially
geometrical and starts from the idea that any grain boundary is a
particular kind of quasi-crystal. For the examples presented here
(symmetric tilt boundaries in two-dimensional crystals), both methods
predict quantitatively the same structures, independently of any
tunning parameter. Our results suggest a kind of universality of
frustration and competition effects near a defect in crystalline
arrangements. Some applications to
nanograins will be considered. Investigadores
Denis Boyer (IFUNAM)
David Romeu (IFUNAM)
Estudiantes Publicaciones
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