{"citation":{"ieee":"C. P. Goodrich, A. J. Liu, and S. R. Nagel, “Finite-size scaling at the jamming transition,” <i>Physical Review Letters</i>, vol. 109, no. 9. American Physical Society, 2012.","ama":"Goodrich CP, Liu AJ, Nagel SR. Finite-size scaling at the jamming transition. <i>Physical Review Letters</i>. 2012;109(9). doi:<a href=\"https://doi.org/10.1103/physrevlett.109.095704\">10.1103/physrevlett.109.095704</a>","short":"C.P. Goodrich, A.J. Liu, S.R. Nagel, Physical Review Letters 109 (2012).","ista":"Goodrich CP, Liu AJ, Nagel SR. 2012. Finite-size scaling at the jamming transition. Physical Review Letters. 109(9), 095704.","mla":"Goodrich, Carl Peter, et al. “Finite-Size Scaling at the Jamming Transition.” <i>Physical Review Letters</i>, vol. 109, no. 9, 095704, American Physical Society, 2012, doi:<a href=\"https://doi.org/10.1103/physrevlett.109.095704\">10.1103/physrevlett.109.095704</a>.","chicago":"Goodrich, Carl Peter, Andrea J. Liu, and Sidney R. Nagel. “Finite-Size Scaling at the Jamming Transition.” <i>Physical Review Letters</i>. American Physical Society, 2012. <a href=\"https://doi.org/10.1103/physrevlett.109.095704\">https://doi.org/10.1103/physrevlett.109.095704</a>.","apa":"Goodrich, C. P., Liu, A. J., &#38; Nagel, S. R. (2012). Finite-size scaling at the jamming transition. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevlett.109.095704\">https://doi.org/10.1103/physrevlett.109.095704</a>"},"type":"journal_article","date_published":"2012-08-27T00:00:00Z","article_number":"095704","publication":"Physical Review Letters","publication_status":"published","day":"27","date_created":"2020-04-30T11:44:12Z","article_processing_charge":"No","title":"Finite-size scaling at the jamming transition","doi":"10.1103/physrevlett.109.095704","month":"08","author":[{"first_name":"Carl Peter","id":"EB352CD2-F68A-11E9-89C5-A432E6697425","orcid":"0000-0002-1307-5074","full_name":"Goodrich, Carl Peter","last_name":"Goodrich"},{"first_name":"Andrea J.","full_name":"Liu, Andrea J.","last_name":"Liu"},{"last_name":"Nagel","full_name":"Nagel, Sidney R.","first_name":"Sidney R."}],"date_updated":"2021-01-12T08:15:27Z","volume":109,"_id":"7776","year":"2012","abstract":[{"lang":"eng","text":"We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only above isostaticity. As a result, the canonical power-law scalings of the contact number and elastic moduli break down at low pressure. These quantities exhibit scaling collapse with a nontrivial scaling function, demonstrating that the jamming transition can be considered a phase transition. Scaling is achieved as a function of N in both two and three dimensions, indicating an upper critical dimension of 2."}],"publication_identifier":{"issn":["0031-9007","1079-7114"]},"intvolume":"       109","publisher":"American Physical Society","quality_controlled":"1","language":[{"iso":"eng"}],"issue":"9","article_type":"original","status":"public","extern":"1","oa_version":"None","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}