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Random sequential adsorption of oriented superdisks

2009; American Physical Society; Volume: 79; Issue: 4 Linguagem: Inglês

10.1103/physreve.79.042103

1550-2376

Oleksandr Gromenko, Vladimir Privman,

Stochastic processes and statistical mechanics

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.