Precise algorithm to generate random sequential adsorption of hard polygons at saturation

Physical Review. E
G Zhang

Abstract

Random sequential adsorption (RSA) is a time-dependent packing process, in which particles of certain shapes are randomly and sequentially placed into an empty space without overlap. In the infinite-time limit, the density approaches a "saturation" limit. Although this limit has attracted particular research interest, the majority of past studies could only probe this limit by extrapolation. We have previously found an algorithm to reach this limit using finite computational time for spherical particles and could thus determine the saturation density of spheres with high accuracy. In this paper, we generalize this algorithm to generate saturated RSA packings of two-dimensional polygons. We also calculate the saturation density for regular polygons of three to ten sides and obtain results that are consistent with previous, extrapolation-based studies.

References

Mar 29, 1979·Nature·L Finegold, J T Donnell
Oct 15, 1989·Physical Review A: General Physics·J TalbotP Schaaf
Jan 15, 1991·Physical Review. a·B J BrosilowR D Vigil
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S TorquatoF H Stillinger
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oleksandr Gromenko, Vladimir Privman
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michał Cieśla
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G Zhang, S Torquato
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michał Cieśla, Jakub Barbasz
Sep 4, 2015·Physical Chemistry Chemical Physics : PCCP·Michał CieślaRobert M Ziff
Jan 15, 2018·The Journal of Chemical Physics·Michał Cieśla, Piotr Kubala

❮ Previous
Next ❯

Citations

Jul 17, 2018·The Journal of Chemical Physics·S Torquato
Sep 19, 2020·Physical Review. E·Nikolai I LebovkaYuri Yu Tarasevich
Oct 3, 2019·Physical Review. E·Pooria YousefiMuhammad Sahimi
Nov 28, 2019·Physical Review. E·Piotr Kubala

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
G Zhang, Salvatore Torquato
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Michał Cieśla, Jakub Barbasz
Journal of Molecular Modeling
Michał Cieśla, Jakub Barbasz
The Journal of Chemical Physics
Michał Cieśla, Jakub Barbasz
© 2022 Meta ULC. All rights reserved