Intrinsic energy localization through discrete gap breathers in one-dimensional diatomic granular crystals
Name
Theocharis-2010-Intrinsic energy localization through discrete gap breathers in one-dimensional diatomic granular crystals.pdf
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1.42 MB
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Author(s)
Theocharis, G.
Boechler, Nicholas
Kevrekidis, P. G.
Job, S.
Porter, Mason A.
Daraio, Chiara
Date Issued
November 2010
Journal
Physical Review E
Publisher
American Physical Society
Citation
Theocharis, G. et al. "Intrinsic energy localization through discrete gap breathers in one-dimensional diatomic granular crystals." Phys. Rev. E 82, 056604 (2010) [11 pages]. © 2010 The American Physical Society.
Version
Final published version
Abstract
We present a systematic study of the existence and stability of discrete breathers that are spatially localized in the bulk of a one-dimensional chain of compressed elastic beads that interact via Hertzian contact. The chain is diatomic, consisting of a periodic arrangement of heavy and light spherical particles. We examine two families of discrete gap breathers: (1) an unstable discrete gap breather that is centered on a heavy particle and
characterized by a symmetric spatial energy profile and (2) a potentially stable discrete gap breather that is centered on a light particle and is characterized by an asymmetric spatial energy profile. We investigate their existence, structure, and stability throughout the band gap of the linear spectrum and classify them into four regimes: a regime near the lower optical band edge of the linear spectrum, a moderately discrete regime, a strongly discrete regime that lies deep within the band gap of the linearized version of the system, and a regime near the upper acoustic band edge. We contrast discrete breathers in anharmonic Fermi-Pasta-Ulam (FPU)-type diatomic chains with those in diatomic granular crystals, which have a tensionless interaction potential between adjacent particles, and note that the asymmetric nature of the tensionless interaction potential can lead to hybrid bulk-surface localized solutions.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.82.056604
