Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 2010 | Published
Journal Article Open

Discrete breathers at the interface between a diatomic and a monoatomic granular chain

Abstract

In the present work, we develop a systematic examination of the existence, stability, and dynamical properties of a discrete breather at the interface between a diatomic and a monoatomic granular chain. We remarkably find that such an "interface breather" is more robust than its bulk diatomic counterpart throughout the gap of the linear spectrum. The latter linear spectral gap needs to exist for the breather state to arise and the relevant spectral conditions are discussed. We illustrate the minimal excitation conditions under which such an interface breather can be "nucleated" and analyze its apparently weak interaction with regular highly nonlinear solitary waveforms.

Additional Information

© 2010 The American Physical Society. Received 23 August 2010; published 10 December 2010. This work has been supported from "A. S. Onassis" Foundation, Grant No. RZG 003/2010-2011 G.T. and P.G.K.. P.G.K. gratefully acknowledges support from the National Science Foundation through Grants NSF-DMS-0349023 CAREER, NSF-DMS-0806762, and the Alexander von Humboldt Foundation. The authors acknowledge numerous enlightening discussions with Professor Chiara Daraio, and are thankful to Professor Daraio for stimulating their interest in this research topic and for providing the preprint of 27 prior to its publication. A number of discussions at an early stage of this project with Professor Mason A. Porter are also acknowledged.

Attached Files

Published - Hoogeboom2010p12683Phys_Rev_E.pdf

Files

Hoogeboom2010p12683Phys_Rev_E.pdf
Files (980.7 kB)
Name Size Download all
md5:79b130915f4ef4bbcbac6acec9567e73
980.7 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023