Year: 2014
Type: preprint
Abstract: We study the vibrational properties near a free surface of disordered spring networks derived from jammed sphere packings. In bulk systems, without surfaces, it is well understood that such systems have a plateau in the density of vibrational modes extending down to a frequency scale $ω^*$. This frequency is controlled by $ΔZ = \langle Z \rangle - 2d$, the difference between the average coordination of the spheres and twice the spatial dimension, $d$, of the system, which vanishes at the jamming transition. In the presence of a free surface we find that there is a density of disordered vibrational modes associated with the surface that extends far below $ω^*$. The total number of these low-frequency surface modes is controlled by $ΔZ$, and the profile of their decay into the bulk has two characteristic length scales, which diverge as $ΔZ^{-1/2}$ and $ΔZ^{-1}$ as the jamming transition is approached.
Source: arXiv (Cornell University)
Institutions: University of Pennsylvania, University of Chicago
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
Awards: A SYSTEMATIC NUMERICAL STUDY OF THE JAMMING TRANSITION AT ZERO TEMPERATURE, G1481554514, G1848586159, G222768804, G3045803748, G3241357826, G3850563948, G3925634313, G4657903139, Center of Excellence for Materials Research and Innovation, SYSTEMATIC NUMERICAL STUDY OF THE JAMMING TRANSITION AT ZERO TEMPERATURE, G522909762, G5648016710, G7173805440, G7294309557
OpenAlex ID: W2950340326