Low Temperature Physics: 34, 554 (2008); https://doi.org/10.1063/1.2957007 (5 pages)
Физика Низких Температур: Том 34, Выпуск 7 (Июль 2008), c. 701-706    ( к оглавлению , назад )

Interaction of discrete breathers with thermal fluctuations

M. Eleftheriou1,2 and S. Flach3

1 Department of Physics, University of Crete, P.O. Box 2208, Heraklion 71003, Greece

2 Department of Music Technology and Acoustics, Technological Educational Institute of Crete, Rethymno, Crete, Greece

3Max-Planck-Institut fur Physik Komplexer Systeme, Nothnitzer Str. 38, Dresden 01187, Germany
E-mail: flach@mpiks-dresden.mpg.de

Received February 12, 2008

Аннотация

Discrete breathers (DB) are time-periodic and spatially localized lattice excitations, which can be linearly stable or unstable with respect to either localized or extended perturbations. We analyze the interaction of DBs with a thermalized background of small amplitude lattice excitations in a one-dimensional lattice of Morse oscillators with nearest neighbour interaction. We find that stable DBs are barely influenced by the thermal noise. Unstable DBs are starting to propagate through the lattice, without loosing their localization character. The instability can be both due to localized perturbations, as well as due to extended perturbations. We discuss these observations in terms of resonances of DBs with localized and delocalized perturbations, and relate them to the issue of DB impact on statistical properties of nonlinear lattices.

PACS: 05.10.–a Computational methods in statistical physics and nonlinear dynamics;
PACS: 05.45.Yv Solitons;
PACS: 63.20.Ry Anharmonic lattice modes.

Ключевые слова: discrete breathers, thermalization.