2014/09/28 by Xipeng Wang, Wen Zheng, Lijin Wang +1 · 24 citations
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Condensed matter physics #Glass properties and applications #High-pressure geophysics and materials #Material Dynamics and Properties #Materials science #Phonon #Physics #Transverse plane #cond-mat.soft
paper · pdf · doi:10.1103/physrevlett.114.035502
published in Physical Review Letters 114(3), 035502 (American Physical Society) · 5 pages, 4 figures
arxiv created 2014/09/28 · openalex publication_date 2015/01/23 · arxiv updated 2015/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We probe the Ioffe-Regel limits of glasses with repulsions near the zero-temperature jamming transition by calculating the dynamical structure factors. The Ioffe-Regel limit (frequency) is reached when the phonon wavelength is comparable to the mean free path, beyond which phonons are no longer well defined. At zero temperature, the transverse Ioffe-Regel frequency vanishes at the jamming transition with a diverging length, but the longitudinal one does not, which excludes the existence of a diverging length associated with the longitudinal excitations. At low temperatures, the transverse and longitudinal Ioffe-Regel frequencies approach zero at the jamminglike transition and glass transition, respectively. As a consequence, glasses between the glass transition and the jamminglike transition, which are hard-sphere glasses in the low temperature limit, can only carry well-defined longitudinal phonons and have an opposite pressure dependence of the ratio of the shear modulus to the bulk modulus from glasses beyond the jamminglike transition.