Random Sequential Adsorption of Oriented Superdisks

Details Random Sequential Adsorption of Oriented Superdisks Random Sequential Adsorption of Oriented Superdisks

2009-02-18

arxiv.org/abs/0902.3089v1

Phys. Rev. E 79, article 042103, 4 pages (2009)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.79.042103

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.

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