{"author":[{"full_name":"Sussman, Daniel M.","last_name":"Sussman","first_name":"Daniel M."},{"id":"EB352CD2-F68A-11E9-89C5-A432E6697425","full_name":"Goodrich, Carl Peter","last_name":"Goodrich","first_name":"Carl Peter","orcid":"0000-0002-1307-5074"},{"first_name":"Andrea J.","last_name":"Liu","full_name":"Liu, Andrea J."},{"full_name":"Nagel, Sidney R.","last_name":"Nagel","first_name":"Sidney R."}],"date_created":"2020-04-30T11:41:23Z","status":"public","date_updated":"2021-01-12T08:15:23Z","volume":11,"abstract":[{"lang":"eng","text":"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 = 〈Z〉 − 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."}],"oa_version":"None","type":"journal_article","page":"2745-2751","doi":"10.1039/c4sm02905d","article_type":"original","_id":"7766","publication":"Soft Matter","language":[{"iso":"eng"}],"issue":"14","publication_status":"published","quality_controlled":"1","title":"Disordered surface vibrations in jammed sphere packings","citation":{"ista":"Sussman DM, Goodrich CP, Liu AJ, Nagel SR. 2015. Disordered surface vibrations in jammed sphere packings. Soft Matter. 11(14), 2745–2751.","apa":"Sussman, D. M., Goodrich, C. P., Liu, A. J., &#38; Nagel, S. R. (2015). Disordered surface vibrations in jammed sphere packings. <i>Soft Matter</i>. Royal Society of Chemistry. <a href=\"https://doi.org/10.1039/c4sm02905d\">https://doi.org/10.1039/c4sm02905d</a>","chicago":"Sussman, Daniel M., Carl Peter Goodrich, Andrea J. Liu, and Sidney R. Nagel. “Disordered Surface Vibrations in Jammed Sphere Packings.” <i>Soft Matter</i>. Royal Society of Chemistry, 2015. <a href=\"https://doi.org/10.1039/c4sm02905d\">https://doi.org/10.1039/c4sm02905d</a>.","ama":"Sussman DM, Goodrich CP, Liu AJ, Nagel SR. Disordered surface vibrations in jammed sphere packings. <i>Soft Matter</i>. 2015;11(14):2745-2751. doi:<a href=\"https://doi.org/10.1039/c4sm02905d\">10.1039/c4sm02905d</a>","ieee":"D. M. Sussman, C. P. Goodrich, A. J. Liu, and S. R. Nagel, “Disordered surface vibrations in jammed sphere packings,” <i>Soft Matter</i>, vol. 11, no. 14. Royal Society of Chemistry, pp. 2745–2751, 2015.","short":"D.M. Sussman, C.P. Goodrich, A.J. Liu, S.R. Nagel, Soft Matter 11 (2015) 2745–2751.","mla":"Sussman, Daniel M., et al. “Disordered Surface Vibrations in Jammed Sphere Packings.” <i>Soft Matter</i>, vol. 11, no. 14, Royal Society of Chemistry, 2015, pp. 2745–51, doi:<a href=\"https://doi.org/10.1039/c4sm02905d\">10.1039/c4sm02905d</a>."},"date_published":"2015-02-15T00:00:00Z","extern":"1","intvolume":"        11","article_processing_charge":"No","year":"2015","month":"02","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"15","publisher":"Royal Society of Chemistry","publication_identifier":{"issn":["1744-683X","1744-6848"]}}