Skip to main content

Research Repository

Advanced Search

The emergence of waves in random discrete systems

Pickton, John; Hopcraft, Keith Iain; Jakeman, Eric

Authors

John Pickton

Keith Iain Hopcraft

Eric Jakeman



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.

Citation

Pickton, J., Hopcraft, K. I., & Jakeman, E. (in press). The emergence of waves in random discrete systems. Scientific Reports, 6(21), https://doi.org/10.1038/s41598-016-0022-3

Journal Article Type Article
Acceptance Date Oct 24, 2016
Online Publication Date Dec 23, 2016
Deposit Date Jan 5, 2017
Publicly Available Date Jan 5, 2017
Journal Scientific Reports
Print ISSN 2045-2322
Electronic ISSN 2045-2322
Publisher Nature Publishing Group
Peer Reviewed Peer Reviewed
Volume 6
Issue 21
DOI https://doi.org/10.1038/s41598-016-0022-3
Public URL http://eprints.nottingham.ac.uk/id/eprint/39632
Publisher URL http://www.nature.com/articles/s41598-016-0022-3
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

Files


waves.pdf (3.4 Mb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM1_ESM.avi (10.8 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM2_ESM.avi (10.2 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM3_ESM.avi (14.8 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM4_ESM.avi (16.6 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM5_ESM.avi (5.1 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM6_ESM.avi (6.7 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM7_ESM.avi (3.3 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM8_ESM.avi (3.7 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM9_ESM.avi (4.1 Mb)
Other

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


41598_2016_22_MOESM10_ESM.pdf (4.4 Mb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





You might also like



Downloadable Citations