Sub-Power Law Decay of the Wave Packet Maximum in Disordered Anharmonic Chains
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915137166770176 |
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| author | De Roeck, Wojciech Giacomin, Lydia Hannani, Amirali Huveneers, Francois |
| author_facet | De Roeck, Wojciech Giacomin, Lydia Hannani, Amirali Huveneers, Francois |
| contents | We show that the peak of an initially localized wave packet in one-dimensional nonlinear disordered chains decays more slowly than any power law of time. The systems under investigation are Klein-Gordon and nonlinear disordered Schrödinger-type chains, characterized by a harmonic onsite disordered potential and quartic nearest-neighbor coupling. Our results apply in the long-time limit, hold almost surely, and are valid for arbitrary finite energy values. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_02344 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sub-Power Law Decay of the Wave Packet Maximum in Disordered Anharmonic Chains De Roeck, Wojciech Giacomin, Lydia Hannani, Amirali Huveneers, Francois Mathematical Physics Dynamical Systems We show that the peak of an initially localized wave packet in one-dimensional nonlinear disordered chains decays more slowly than any power law of time. The systems under investigation are Klein-Gordon and nonlinear disordered Schrödinger-type chains, characterized by a harmonic onsite disordered potential and quartic nearest-neighbor coupling. Our results apply in the long-time limit, hold almost surely, and are valid for arbitrary finite energy values. |
| title | Sub-Power Law Decay of the Wave Packet Maximum in Disordered Anharmonic Chains |
| topic | Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2502.02344 |