Figure 4. Transverse rigidity transition in the absence of the depletion force.

As described in the text, we compute the 2nd order elastic constant for radial compression as a function of the occupied spring fraction and (b) scale to the limit. In contrast to Ref. [20], all values yield the same results when scaled, because their lattice boundary is fixed while ours relax to equilibrium. In all cases, the transverse rigidity percolation threshold is , in good agreement with the case of Ref. [20]