Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:C1L-C

Session:

Number:C1L-C1

Intrinsic localized modes in two-dimensional vibrations of crystalline pillars

Daniel Brake,  Vakhtang Putkaradze,  

pp.600-603

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.C1L-C1

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Summary:
We study the appearance of ILMs in a model for the two-dimensional vibrations of an array consisting of mono-crystal nanopillars. For these pillars, the elastic properties and hence the dynamics depend on the pillar’s shape and the orientation of the crystal axes. We show that ILMs do form in the system, but their stability, defect pinning and reaction to friction strongly depend on the crystals properties, with the optimal dynamics only achieved in a rather small region of the parameter space.