dorsal/arxiv
View SchemaPhonon Scattering by Breathers in the Discrete Nonlinear Schroedinger Equation
| Authors | S. Lee, Julian J. -L. Ting, S. Kim |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9806007 |
| URL | https://arxiv.org/abs/solv-int/9806007 |
Abstract
Linear theory for phonon scattering by discrete breathers in the discrete nonlinear Schroedinger equation using the transfer matrix approach is presented. Transmission and reflection coefficients are obtained as a function of the wave vector of the input phonon. The occurrence of a nonzero transmission, which in fact becomes perfect for a symmetric breather, is shown to be connected with localized eigenmodes thresholds. In the weak-coupling limit, perfect reflection are shown to exist, which requires two scattering channels. A necessary condition for a system to have a perfect reflection is also considered in a general context.
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"date_created": "2026-03-02T18:02:51.606000Z",
"date_modified": "2026-03-02T18:02:51.606000Z",
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"abstract": "Linear theory for phonon scattering by discrete breathers in the discrete\nnonlinear Schroedinger equation using the transfer matrix approach is\npresented. Transmission and reflection coefficients are obtained as a function\nof the wave vector of the input phonon. The occurrence of a nonzero\ntransmission, which in fact becomes perfect for a symmetric breather, is shown\nto be connected with localized eigenmodes thresholds. In the weak-coupling\nlimit, perfect reflection are shown to exist, which requires two scattering\nchannels. A necessary condition for a system to have a perfect reflection is\nalso considered in a general context.",
"arxiv_id": "solv-int/9806007",
"authors": [
"S. Lee",
"Julian J. -L. Ting",
"S. Kim"
],
"categories": [
"solv-int",
"cond-mat.dis-nn",
"nlin.SI",
"quant-ph"
],
"title": "Phonon Scattering by Breathers in the Discrete Nonlinear Schroedinger Equation",
"url": "https://arxiv.org/abs/solv-int/9806007"
},
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"execution_id": "64e41881-c555-4da9-ac8d-a1d29a71e58d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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