%0 Journal Article %1 Goodrich2012FiniteSize %A Goodrich, Carl P. %A Liu, Andrea J. %A Nagel, Sidney R. %D 2012 %I American Physical Society %J Physical Review Letters %K hard-spheres, scaling jamming finite-size %P 095704+ %R 10.1103/physrevlett.109.095704 %T Finite-Size Scaling at the Jamming Transition %U http://dx.doi.org/10.1103/physrevlett.109.095704 %V 109 %X 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{Goodrich2012FiniteSize, abstract = {{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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Goodrich, Carl P. and Liu, Andrea J. and Nagel, Sidney R.}, biburl = {https://www.bibsonomy.org/bibtex/28e6ec01b827120d4311b8b1066fb5095/nonancourt}, citeulike-article-id = {11143423}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.109.095704}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v109/i9/e095704}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v109/i9/e095704}, doi = {10.1103/physrevlett.109.095704}, interhash = {0661f49ef18033edce845b7781ae25eb}, intrahash = {8e6ec01b827120d4311b8b1066fb5095}, journal = {Physical Review Letters}, keywords = {hard-spheres, scaling jamming finite-size}, month = aug, pages = {095704+}, posted-at = {2012-08-27 22:39:48}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:16:40.000+0200}, title = {{Finite-Size Scaling at the Jamming Transition}}, url = {http://dx.doi.org/10.1103/physrevlett.109.095704}, volume = 109, year = 2012 }