Criticality and marginal stability of shear driven jamming in frictionless sphere packings.*

 

We study the critical behavior of shear driven jamming numerically and compare with compressiondriven jamming in frictionless systems. Following recent studies on the criticality of compression driven jamming, and the  observation of shear jamming in deeply annealed frictionless sphere packings, we generate configurations close to the  shear jamming  transition. We calculate the exponents associated with the small force distribution and the inter-particle gap distribution. We find the exponents to be consistent with those found for compression driven jamming, which in turn matches with the prediction from the mean-field theory of hard-spheres.  This, along with our other results, suggests that compression driven jamming and shear jamming have the same critical behavior in frictionless systems.