Discrete nonlinear Schrödinger breathers in a phonon bath

K. Rasmussen, S. Aubry, A. R. Bishop, G. P. Tsironis

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

We study the dynamics of the discrete nonlinear Schrödinger lattice initialized such that a very long transitory period of time in which standard Boltzmann statistics is insufficient is reached. Our study of the nonlinear system locked in this non-Gibbsian state focuses on the dynamics of discrete breathers (also called intrinsic localized modes). It is found that part of the energy spontaneously condenses into several discrete breathers. Although these discrete breathers are extremely long lived, their total number is found to decrease as the evolution progresses. Even though the total number of discrete breathers decreases we report the surprising observation that the energy content in the discrete breather population increases. We interpret these observations in the perspective of discrete breather creation and annihilation and find that the death of a discrete breather cause effective energy transfer to a spatially nearby discrete breather. It is found that the concepts of a multi-frequency discrete breather and of internal modes is crucial for this process. Finally, we find that the existence of a discrete breather tends to soften the lattice in its immediate neighborhood, resulting in high amplitude thermal fluctuation close to an existing discrete breather. This in turn nucleates discrete breather creation close to a already existing discrete breather.

Original languageEnglish
Pages (from-to)169-175
Number of pages7
JournalEuropean Physical Journal B
Volume15
Issue number1
Publication statusPublished - May 1 2000
Externally publishedYes

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baths
nonlinear systems
death
Energy transfer
Nonlinear systems
energy transfer
Statistics
statistics
energy
causes
Hot Temperature

Keywords

  • 63.20.Pw Localized modes
  • 63.20.Ry Anharmonic lattice modes
  • 63.70.+h Statistical mechanics of lattice vibrations and displacive phase transitions

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Rasmussen, K., Aubry, S., Bishop, A. R., & Tsironis, G. P. (2000). Discrete nonlinear Schrödinger breathers in a phonon bath. European Physical Journal B, 15(1), 169-175.

Discrete nonlinear Schrödinger breathers in a phonon bath. / Rasmussen, K.; Aubry, S.; Bishop, A. R.; Tsironis, G. P.

In: European Physical Journal B, Vol. 15, No. 1, 01.05.2000, p. 169-175.

Research output: Contribution to journalArticle

Rasmussen, K, Aubry, S, Bishop, AR & Tsironis, GP 2000, 'Discrete nonlinear Schrödinger breathers in a phonon bath', European Physical Journal B, vol. 15, no. 1, pp. 169-175.
Rasmussen K, Aubry S, Bishop AR, Tsironis GP. Discrete nonlinear Schrödinger breathers in a phonon bath. European Physical Journal B. 2000 May 1;15(1):169-175.
Rasmussen, K. ; Aubry, S. ; Bishop, A. R. ; Tsironis, G. P. / Discrete nonlinear Schrödinger breathers in a phonon bath. In: European Physical Journal B. 2000 ; Vol. 15, No. 1. pp. 169-175.
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