The emergence of waves in random discrete systems
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 requiremen...
| Main Authors: | , , |
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| Format: | Article |
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Nature Publishing Group
2016
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| Online Access: | https://eprints.nottingham.ac.uk/39632/ |
| _version_ | 1848795880146075648 |
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| author | Pickton, John Hopcraft, Keith Iain Jakeman, Eric |
| author_facet | Pickton, John Hopcraft, Keith Iain Jakeman, Eric |
| author_sort | Pickton, John |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:39:07Z |
| format | Article |
| id | nottingham-39632 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:39:07Z |
| publishDate | 2016 |
| publisher | Nature Publishing Group |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-396322020-05-04T18:24:42Z https://eprints.nottingham.ac.uk/39632/ The emergence of waves in random discrete systems Pickton, John Hopcraft, Keith Iain Jakeman, Eric 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. Nature Publishing Group 2016-12-23 Article PeerReviewed Pickton, John, 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 http://www.nature.com/articles/s41598-016-0022-3 doi:10.1038/s41598-016-0022-3 doi:10.1038/s41598-016-0022-3 |
| spellingShingle | Pickton, John Hopcraft, Keith Iain Jakeman, Eric The emergence of waves in random discrete systems |
| title | The emergence of waves in random discrete systems |
| title_full | The emergence of waves in random discrete systems |
| title_fullStr | The emergence of waves in random discrete systems |
| title_full_unstemmed | The emergence of waves in random discrete systems |
| title_short | The emergence of waves in random discrete systems |
| title_sort | emergence of waves in random discrete systems |
| url | https://eprints.nottingham.ac.uk/39632/ https://eprints.nottingham.ac.uk/39632/ https://eprints.nottingham.ac.uk/39632/ |