{"intvolume":"       109","publication_identifier":{"issn":["0031-9007","1079-7114"]},"language":[{"iso":"eng"}],"volume":109,"date_updated":"2021-01-12T08:15:27Z","type":"journal_article","extern":"1","publication_status":"published","issue":"9","publication":"Physical Review Letters","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."}],"article_number":"095704","oa_version":"None","doi":"10.1103/physrevlett.109.095704","author":[{"orcid":"0000-0002-1307-5074","first_name":"Carl Peter","full_name":"Goodrich, Carl Peter","id":"EB352CD2-F68A-11E9-89C5-A432E6697425","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."}],"_id":"7776","title":"Finite-size scaling at the jamming transition","quality_controlled":"1","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.","short":"C.P. Goodrich, A.J. Liu, S.R. Nagel, Physical Review Letters 109 (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>","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>.","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>","ista":"Goodrich CP, Liu AJ, Nagel SR. 2012. Finite-size scaling at the jamming transition. Physical Review Letters. 109(9), 095704.","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>."},"date_created":"2020-04-30T11:44:12Z","month":"08","article_processing_charge":"No","date_published":"2012-08-27T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","publisher":"American Physical Society","status":"public","year":"2012","day":"27"}