Random Sequential Addition of Unoriented Squares: Breakdown of Swendsen's Conjecture

Abstract

Random sequential addition of unoriented squares onto a plane was studied by computer simulation and the results relative to the slow asymptotic approach to the jamming limit are presented. It is shown that, in contradiction with Swendsen's conjecture, the power law describing the time evolution of the surface coverage has an exponent of 1/3 (within statistical uncertainties). Methodological aspects related to the study of the asymptotic regime are emphasized.