{"type":"journal_article","author":[{"last_name":"Goodrich","orcid":"0000-0002-1307-5074","full_name":"Goodrich, Carl Peter","first_name":"Carl Peter","id":"EB352CD2-F68A-11E9-89C5-A432E6697425"},{"full_name":"Ellenbroek, Wouter G.","last_name":"Ellenbroek","first_name":"Wouter G."},{"first_name":"Andrea J.","last_name":"Liu","full_name":"Liu, Andrea J."}],"issue":"46","publication":"Soft Matter","article_number":"10993","status":"public","publication_status":"published","date_created":"2020-04-30T11:43:42Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","oa_version":"None","month":"10","publication_identifier":{"issn":["1744-683X","1744-6848"]},"doi":"10.1039/c3sm51095f","_id":"7774","language":[{"iso":"eng"}],"day":"08","date_published":"2013-10-08T00:00:00Z","article_processing_charge":"No","extern":"1","citation":{"apa":"Goodrich, C. P., Ellenbroek, W. G., &#38; Liu, A. J. (2013). Stability of jammed packings I: The rigidity length scale. <i>Soft Matter</i>. Royal Society of Chemistry. <a href=\"https://doi.org/10.1039/c3sm51095f\">https://doi.org/10.1039/c3sm51095f</a>","ieee":"C. P. Goodrich, W. G. Ellenbroek, and A. J. Liu, “Stability of jammed packings I: The rigidity length scale,” <i>Soft Matter</i>, vol. 9, no. 46. Royal Society of Chemistry, 2013.","short":"C.P. Goodrich, W.G. Ellenbroek, A.J. Liu, Soft Matter 9 (2013).","mla":"Goodrich, Carl Peter, et al. “Stability of Jammed Packings I: The Rigidity Length Scale.” <i>Soft Matter</i>, vol. 9, no. 46, 10993, Royal Society of Chemistry, 2013, doi:<a href=\"https://doi.org/10.1039/c3sm51095f\">10.1039/c3sm51095f</a>.","chicago":"Goodrich, Carl Peter, Wouter G. Ellenbroek, and Andrea J. Liu. “Stability of Jammed Packings I: The Rigidity Length Scale.” <i>Soft Matter</i>. Royal Society of Chemistry, 2013. <a href=\"https://doi.org/10.1039/c3sm51095f\">https://doi.org/10.1039/c3sm51095f</a>.","ama":"Goodrich CP, Ellenbroek WG, Liu AJ. Stability of jammed packings I: The rigidity length scale. <i>Soft Matter</i>. 2013;9(46). doi:<a href=\"https://doi.org/10.1039/c3sm51095f\">10.1039/c3sm51095f</a>","ista":"Goodrich CP, Ellenbroek WG, Liu AJ. 2013. Stability of jammed packings I: The rigidity length scale. Soft Matter. 9(46), 10993."},"intvolume":"         9","volume":9,"year":"2013","date_updated":"2021-01-12T08:15:27Z","title":"Stability of jammed packings I: The rigidity length scale","abstract":[{"text":"In 2005, Wyart et al. [Europhys. Lett., 2005, 72, 486] showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes marginally unstable. Despite the tremendous success of this theory, it has been difficult to connect the counting argument that defines l* to other length scales that diverge near the jamming transition. We present an alternate derivation of l* based on the onset of rigidity. This phenomenological approach reveals the physical mechanism underlying the length scale and is relevant to a range of systems for which the original argument breaks down. It also allows us to present the first direct numerical measurement of l*.","lang":"eng"}],"quality_controlled":"1","publisher":"Royal Society of Chemistry"}