TY - JOUR AB - 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. AU - Goodrich, Carl Peter AU - Liu, Andrea J. AU - Nagel, Sidney R. ID - 7776 IS - 9 JF - Physical Review Letters SN - 0031-9007 TI - Finite-size scaling at the jamming transition VL - 109 ER -