Existence and stability of discrete gap breathers in a diatomic [Formula presented] Fermi-Pasta-Ulam chain

P. Maniadis, A. V. Zolotaryuk, Georgios Tsironis

Research output: Contribution to journalArticle

Abstract

We study the existence and stability of discrete breathers in a chain consisting of alternating light and heavy particles, with nearest-neighbor coupling containing quartic soft or hard anharmonicity. This study is focused on breathers with frequency in the gap that separates the acoustic and optical bands of the phonon spectrum. Simple analytical and physical results obtained through explicit solutions of algebraic equations demonstrate the possibility of the existence of gap breathers with both types of symmetry, i.e., symmetric and antisymmetric. The specific pattern depends on the type of anharmonicity present, i.e., soft or hard, and whether the center of the breather is on a light or a heavy particle. These analytical results are verified systematically through the use of a numerically exact procedure from the anticontinuous limit.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number4
DOIs
Publication statusPublished - Jan 1 2003

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Breathers
Discrete Breathers
Antisymmetric
Phonon
Quartic
Explicit Solution
Algebraic Equation
acoustics
Nearest Neighbor
Acoustics
symmetry
Symmetry
Demonstrate

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Existence and stability of discrete gap breathers in a diatomic [Formula presented] Fermi-Pasta-Ulam chain. / Maniadis, P.; Zolotaryuk, A. V.; Tsironis, Georgios.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, No. 4, 01.01.2003.

Research output: Contribution to journalArticle

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