dorsal/arxiv
View SchemaDiscrete Nonlinear Schr{\"o}dinger Breathers in a Phonon Bath
| Authors | K. Ø. Rasmussen, S. Aubry, A. R. Bishop, G. P. Tsironis |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9901002 |
| URL | https://arxiv.org/abs/patt-sol/9901002 |
| DOI | 10.1007/PL00011032 |
| Journal | Eur. Phys. J. B 15, 169 (2000). |
Abstract
We study the dynamics of the discrete nonlinear Schr{\"o}dinger lattice initialized such that a very long transitory period of time in which standard Boltzmann statistics is insufficient is reached. Our study of the nonlinear system locked in this {\em non-Gibbsian} state focuses on the dynamics of discrete breathers (also called intrinsic localized modes). It is found that part of the energy spontaneously condenses into several discrete breathers. Although these discrete breathers are extremely long lived, their total number is found to decrease as the evolution progresses. Even though the total number of discrete breathers decreases we report the surprising observation that the energy content in the discrete breather population increases. We interpret these observations in the perspective of discrete breather creation and annihilation and find that the death of a discrete breather cause effective energy transfer to a spatially nearby discrete breather. It is found that the concepts of a multi-frequency discrete breather and of internal modes is crucial for this process. Finally, we find that the existence of a discrete breather tends to soften the lattice in its immediate neighborhood, resulting in high amplitude thermal fluctuation close to an existing discrete breather. This in turn nucleates discrete breather creation close to a already existing discrete breather.
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"abstract": "We study the dynamics of the discrete nonlinear Schr{\\\"o}dinger lattice\ninitialized such that a very long transitory period of time in which standard\nBoltzmann statistics is insufficient is reached. Our study of the nonlinear\nsystem locked in this {\\em non-Gibbsian} state focuses on the dynamics of\ndiscrete breathers (also called intrinsic localized modes). It is found that\npart of the energy spontaneously condenses into several discrete breathers.\nAlthough these discrete breathers are extremely long lived, their total number\nis found to decrease as the evolution progresses. Even though the total number\nof discrete breathers decreases we report the surprising observation that the\nenergy content in the discrete breather population increases. We interpret\nthese observations in the perspective of discrete breather creation and\nannihilation and find that the death of a discrete breather cause effective\nenergy transfer to a spatially nearby discrete breather. It is found that the\nconcepts of a multi-frequency discrete breather and of internal modes is\ncrucial for this process. Finally, we find that the existence of a discrete\nbreather tends to soften the lattice in its immediate neighborhood, resulting\nin high amplitude thermal fluctuation close to an existing discrete breather.\nThis in turn nucleates discrete breather creation close to a already existing\ndiscrete breather.",
"arxiv_id": "patt-sol/9901002",
"authors": [
"K. \u00d8. Rasmussen",
"S. Aubry",
"A. R. Bishop",
"G. P. Tsironis"
],
"categories": [
"patt-sol",
"cond-mat",
"nlin.PS"
],
"doi": "10.1007/PL00011032",
"journal_ref": "Eur. Phys. J. B 15, 169 (2000).",
"title": "Discrete Nonlinear Schr{\\\"o}dinger Breathers in a Phonon Bath",
"url": "https://arxiv.org/abs/patt-sol/9901002"
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