| Issue |
EPL
Volume 78, Number 2, April 2007
|
|
|---|---|---|
| Article Number | 26001 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/78/26001 | |
| Published online | 23 March 2007 | |
Growth and erosion of a discrete breather interacting with Rayleigh-Jeans distributed phonons
Institute of Physics, Chemnitz University of Technology - 09107 Chemnitz, Germany
Received:
10
November
2006
Accepted:
26
February
2007
The interaction of a discrete breather with Rayleigh-Jeans distributed low-amplitude phonons is studied for the discrete nonlinear Schrödinger equation. A statistical analysis gives a criterion for growth or decay of the breather, depending on its phase frequency, and on the chemical potential of the phonons. If the breather exceeds a critical amplitude, the breather accumulates wave action from the phonons and grows. If the breather amplitude is smaller, the phonons erode the breather.
PACS: 63.20.Pw – Localized modes / 63.70.+h – Statistical mechanics of lattice vibrations and displacive phase transitions / 05.45.-a – Nonlinear dynamics and chaos
© Europhysics Letters Association, 2007
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