Tuesday, December 01, 2009

"Localized Breathing Modes in Granular Crystals with Defects"

My latest paper has just come out in Physical Review E. Here are the specs:

Title: Localized Breathing Modes in Granular Crystals with Defects

Authors:: G. Theocharis, M. Kavousanakis, P. G. Kevrekidis, Chiara Daraio, Mason A. Porter, and I. G. Kevrekidis

Abstract: We study localized modes in uniform one-dimensional chains of tightly packed and uniaxially compressed elastic beads in the presence of one or two light-mass impurities. For chains composed of beads of the same type, the intrinsic nonlinearity, which is caused by the Hertzian interaction of the beads, appears not to support localized, breathing modes. Consequently, the inclusion of light-mass impurities is crucial for their appearance. By analyzing the problem’s linear limit, we identify the system’s eigenfrequencies and the linear defect modes. Using continuation techniques, we find the solutions that bifurcate from their linear counterparts and study their linear stability in detail. We observe that the nonlinearity leads to a frequency dependence in the amplitude of the oscillations, a static mutual displacement of the parts of the chain separated by a defect, and for chains with two defects that are not in contact, it induces symmetry-breaking bifurcations.

By the way, this is the paper that gave me a bi-Kevrekidis number of 1.


Anonymous said...

Congratulations Mason¡¡¡¡

I also hope to get shortly a bi-Kevrekidis nÂș.


Mason said...

Are you working with Panos? Which project?

adamo said...

You now have to make a tri-Faloutsos

Mason said...

Adamo: That's indeed a worthy challenge. I haven't even met any of them yet.