Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes

Yi Ming; Dong-Bo Ling; Hui-Min Li; Ze-Jun Ding

doi:10.1063/1.4985016

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arXiv · 1706.03437

Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes

Yi Ming·Dong-Bo Ling·Hui-Min Li·Ze-Jun Ding

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Abstract

So far, only the energy thresholds of single discrete breathers in nonlinear Hamiltonian systems have been analytically obtained. In this work, the energy thresholds of discrete breathers in thermal equilibrium and the energy thresholds of long-lived discrete breathers which can remain after a long time relaxation are analytically estimated for nonlinear chains. These energy thresholds are size dependent. The energy thresholds of discrete breathers in thermal equilibrium are same as the previous analytical results for single discrete breathers. The energy thresholds of long-lived discrete breathers in relaxation processes are different from the previous results for single discrete breathers but agree well with the published numerical results known to us. Because real systems are either in thermal equilibrium or in relaxation processes, the obtained results could be important for experimental detection of discrete breathers.

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Yi Ming, Dong-Bo Ling, Hui-Min Li, Ze-Jun Ding. 2017-06-12. Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes. https://doi.org/10.1063/1.4985016

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