Anomalous phonon dispersion near yielding in athermal crystals
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866917364772110336 |
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| author | Nakai, Fumiaki Otsuki, Michio Saitoh, Kuniyasu Katsuragi, Hiroaki |
| author_facet | Nakai, Fumiaki Otsuki, Michio Saitoh, Kuniyasu Katsuragi, Hiroaki |
| contents | Vibrational properties of ordered athermal solids near yielding remain poorly understood. We show that yielding in a sheared crystal is governed not by a single localized instability but by directionally extended multimode softening that forms a cross-shaped low-frequency region in wave number space. Near yielding, the acoustic dispersion $ω\sim k$ is replaced by $ω\sim k^2$ along the soft direction, and the vibrational density of states crosses over from Debye to non-Debye scaling, with a diverging length scale. We analytically derive these scaling laws. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26825 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anomalous phonon dispersion near yielding in athermal crystals Nakai, Fumiaki Otsuki, Michio Saitoh, Kuniyasu Katsuragi, Hiroaki Materials Science Soft Condensed Matter Statistical Mechanics Vibrational properties of ordered athermal solids near yielding remain poorly understood. We show that yielding in a sheared crystal is governed not by a single localized instability but by directionally extended multimode softening that forms a cross-shaped low-frequency region in wave number space. Near yielding, the acoustic dispersion $ω\sim k$ is replaced by $ω\sim k^2$ along the soft direction, and the vibrational density of states crosses over from Debye to non-Debye scaling, with a diverging length scale. We analytically derive these scaling laws. |
| title | Anomalous phonon dispersion near yielding in athermal crystals |
| topic | Materials Science Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2603.26825 |