Dissipative Solitary Waves in Granular Crystals
Pattern Formation and Solitons
2010-12-10 v1
Abstract
We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion. We thereby propose a quantitatively-accurate extension of the Hertzian model that encompasses dissipative effects via a discrete Laplacian of the velocities. Experiments and computations with steel, brass, and polytetrafluoroethylene reveal a {\em common} dissipation exponent with a material-dependent prefactor.
Cite
@article{arxiv.0812.0662,
title = {Dissipative Solitary Waves in Granular Crystals},
author = {R. Carretero-Gonzalez and D. Khatri and Mason A. Porter and P. G. Kevrekidis and C. Daraio},
journal= {arXiv preprint arXiv:0812.0662},
year = {2010}
}
Comments
4 pages, 4 figures, accepted in Phys. Rev. Lett