تقرير
Scaling of the Non-Phononic Spectrum of Two-Dimensional Glasses
العنوان: | Scaling of the Non-Phononic Spectrum of Two-Dimensional Glasses |
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المؤلفون: | Wang, Lijin, Szamel, Grzegorz, Flenner, Elijah |
سنة النشر: | 2022 |
المجموعة: | Condensed Matter |
مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks |
الوصف: | Low-frequency vibrational harmonic modes of glasses are frequently used to understand their universal low-temperature properties. One well studied feature is the excess low-frequency density of states over the Debye model prediction. Here we examine the system size dependence of the density of states for two-dimensional glasses. For systems of fewer than 100 particles, the density of states scales with the system size as if all the modes were plane-wave-like. However, for systems greater than 100 particles we find a different system-size scaling of the cumulative density of states below the first transverse sound mode frequency, which can be derived from the assumption that these modes are quasi-localized. Moreover, for systems greater than 100 particles, we find that the cumulative density of states scales with frequency as a power law with the exponent that leads to the exponent $\beta=3.5$ for the density of states independent of system size. Comment: Five pages, six figures. arXiv admin note: text overlap with arXiv:2208.09397 |
نوع الوثيقة: | Working Paper |
DOI: | 10.1063/5.0139596 |
URL الوصول: | http://arxiv.org/abs/2211.07543 |
رقم الأكسشن: | edsarx.2211.07543 |
قاعدة البيانات: | arXiv |
DOI: | 10.1063/5.0139596 |
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