Nanoestructuras desordenadas

Investigación

Miembros del Grupo

Publicaciones

 

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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

 

 

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