Volume 78, Number 2, April 2007
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|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
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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