Random Sequential Adsorption of Oriented Superdisks

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.

References in corpus (5)

• Random Sequential Addition of Hard Spheres in High Euclidean Dimensions
• Random Sequential Adsorption: From Continuum to Lattice and Pre-Patterned Substrates
• Dense Packings of Superdisks and the Role of Symmetry
• Morphology of Fine-Particle Monolayers Deposited on Nanopatterned Substrates
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Cited by in corpus (10)

• Basic Understanding of Condensed Phases of Matter via Packing Models
• Precise Algorithm to Generate Random Sequential Addition of Hard Hyperspheres at Saturation
• Precise algorithm to generate random sequential adsorption of hard polygons at saturation
• Effect of particle polydispersity on the irreversible adsorption of fine particles on patterned substrates
• RSA Study of Dimers
• Two-dimensional systems of elongated particles: From diluted to dense
• Random sequential adsorption of partially ordered discorectangles onto a continuous plane
• Demixing and tetratic ordering in some binary mixtures of hard superellipses
• Jammed state characterization of the random sequential adsorption of segments of two lengths on a line
• Kinetics of Deposition of Oriented Superdisks