Energy transport in jammed sphere packings

Abstract

We calculate the normal modes of vibration in jammed sphere packings to obtain the energy diffusivity, a spectral measure of transport. At the boson peak frequency, we find an Ioffe-Regel crossover from a diffusivity that drops rapidly with frequency to one that is nearly frequency-independent. This crossover frequency shifts to zero as the system is decompressed towards the jamming transition, providing unambiguous evidence of a regime in frequency of nearly constant diffusivity. Such a regime, postulated to exist in glasses to explain the temperature dependence of the thermal conductivity, therefore appears to arise from properties of the jamming transition.

4 pages, 2 figures

References in corpus (15)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Molecular dynamics calculation of the thermal conductivity of vitreous silica
• Effects of compression on the vibrational modes of marginally jammed solids
• Vibrations and diverging length scales near the unjamming transition
• Geometric origin of excess low-frequency vibrational modes in amorphous solids
• Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
• Anharmonicity, vibrational instability and Boson peak in glasses
• On the Rigidity of Amorphous Solids
• Critical and non-critical jamming of frictional grains
• High Frequency Dynamics of Amorphous Silica
• Excess Vibrational Modes and the Boson Peak in Model Glasses
• The Boson Peak and its Relation with Acoustic Attenuation in Glasses
• Structural signatures of the unjamming transition at zero temperature
• Interaction of quasilocal harmonic modes and boson peak in glasses
• Localization behavior of vibrational modes in granular packings

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