The emergence of waves in random discrete systems

Pickton, John and Hopcraft, Keith Iain and Jakeman, Eric (2016) The emergence of waves in random discrete systems. Scientific Reports, 6 (21). pp. 1-9. ISSN 2045-2322

[img]
Preview
PDF (Article) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Available under Licence Creative Commons Attribution.
Download (3MB) | Preview
[img] Video (AVI) (Supplementary video 1)
Available under Licence Creative Commons Attribution.
Download (10MB)
[img] Video (AVI) (Supplementary video 2)
Available under Licence Creative Commons Attribution.
Download (10MB)
[img] Video (AVI) (Supplementary video 3)
Available under Licence Creative Commons Attribution.
Download (14MB)
[img] Video (AVI) (Supplementary video 4)
Available under Licence Creative Commons Attribution.
Download (16MB)
[img] Video (AVI) (Supplementary video 5)
Available under Licence Creative Commons Attribution.
Download (5MB)
[img] Video (AVI) (Supplementary video 6)
Available under Licence Creative Commons Attribution.
Download (6MB)
[img] Video (AVI) (Supplementary video 7)
Available under Licence Creative Commons Attribution.
Download (3MB)
[img] Video (AVI) (Supplementary video 8)
Available under Licence Creative Commons Attribution.
Download (3MB)
[img] Video (AVI) (Supplementary video 9)
Available under Licence Creative Commons Attribution.
Download (4MB)
[img]
Preview
PDF (Supplementary information) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Available under Licence Creative Commons Attribution.
Download (4MB) | Preview

Abstract

Essential criteria for the emergence of wave-like manifestations occurring in an entirely discrete system are identified using a simple model for the movement of particles through a network. The dynamics are entirely stochastic and memoryless involving a birth-death-migration process. The requirements are that the network should have at least three nodes, that migration should have a directional bias, and that the particle dynamics have a non-local dependence. Well defined bifurcations mark transitions between amorphous, wave-like and collapsed states with an intermittent regime between the latter two.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1038/s41598-016-0022-3
Depositing User: Eprints, Support
Date Deposited: 05 Jan 2017 14:13
Last Modified: 21 Aug 2017 18:34
URI: http://eprints.nottingham.ac.uk/id/eprint/39632

Actions (Archive Staff Only)

Edit View Edit View