Random sequential adsorption of oriented superdisks.

In this work we extend recent study of the properties of the dense packing of "superdisks," by Y. Jiao [Phys. Rev. Lett. 100, 245504 (2008)] to the jammed state formed by these objects in random sequential adsorption. The superdisks are two-dimensional shapes bound by the curves of the form |x|2p+|y|2p=1, with p>0. We use Monte Carlo simulations and theoretical arguments to establish that p=1/2 is a special point at which the jamming density, rhoJ(p), has a discontinuous derivative as a function of p . The existence of this point can be also argued for by a phenomenological excluded-area argument.