Interaction of moving discrete breathers with interstitial defects

Jesús Cuevas; Bernardo Sánchez-Rey; J. C. Eilbeck; Francis Michael Russell

doi:10.3934/dcdss.2011.4.1057

Article Contents

2011, Volume 4, Issue 5: 1057-1067. Doi: 10.3934/dcdss.2011.4.1057

This issue Previous Article Sine-Gordon wobbles through Bäcklund transformations Next Article Interaction length of DM solitons in the presence of third order dispersion with loss and amplification

Interaction of moving discrete breathers with interstitial defects

1.
Grupo de Física No Lineal. Departamento de Física Aplicada I., Escuela Politécnica Superior. Universidad de Sevilla, C/ Virgen de África, 7, 41011-Sevilla
2.
Grupo de Física No Lineal. Departamento de Física Aplicada I., Escuela Politécnica Superior. Universidad de Sevilla, C/ Virgen de África, 7. 41011 Sevilla
3.
Maxwell Institute and Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, Scotland
4.
Department of Mathematics and Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS

Received: June 30, 2009

Revised: September 30, 2009

Published: September 2011

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Abstract

In this paper, interstitial migration generated by scattering with a mobile breather is investigated numerically in a Frenkel-Kontorova one-dimensional lattice. Consistent with experimental results, it is shown that interstitial diffusion is more likely and faster than vacancy diffusion. Our simulations support the hypothesis that a long-range energy transport mechanism involving moving nonlinear vibrational excitations may significantly enhance the mobility of point defects in a crystal lattice.

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Mathematics Subject Classification: Primary: 70K75, 74J30.

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