Random Sequential Adsorption of Oriented Superdisks
Statistical Mechanics
2010-10-12 v1
Abstract
In this work we extend recent study of the properties of the dense packing of "superdisks," by Y. Jiao, F. H. Stillinger and S. Torquato, 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 has a discontinuous derivative as a function of p. The existence of this point can be also argued for by geometrical arguments.
Cite
@article{arxiv.0902.3089,
title = {Random Sequential Adsorption of Oriented Superdisks},
author = {Oleksandr Gromenko and Vladimir Privman},
journal= {arXiv preprint arXiv:0902.3089},
year = {2010}
}