The emergence of waves in random discrete systems

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 r...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	John Pickton, Keith Iain Hopcraft, Eric Jakeman
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2016
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b447911adbd9421bb160bfd36300c801
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:b447911adbd9421bb160bfd36300c801
record_format	dspace
spelling	oai:doaj.org-article:b447911adbd9421bb160bfd36300c8012021-12-02T16:08:01ZThe emergence of waves in random discrete systems10.1038/s41598-016-0022-32045-2322https://doaj.org/article/b447911adbd9421bb160bfd36300c8012016-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-016-0022-3https://doaj.org/toc/2045-2322Abstract 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.John PicktonKeith Iain HopcraftEric JakemanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 6, Iss 1, Pp 1-9 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q John Pickton Keith Iain Hopcraft Eric Jakeman The emergence of waves in random discrete systems
description	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.
format	article
author	John Pickton Keith Iain Hopcraft Eric Jakeman
author_facet	John Pickton Keith Iain Hopcraft Eric Jakeman
author_sort	John Pickton
title	The emergence of waves in random discrete systems
title_short	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_sort	emergence of waves in random discrete systems
publisher	Nature Portfolio
publishDate	2016
url	https://doaj.org/article/b447911adbd9421bb160bfd36300c801
work_keys_str_mv	AT johnpickton theemergenceofwavesinrandomdiscretesystems AT keithiainhopcraft theemergenceofwavesinrandomdiscretesystems AT ericjakeman theemergenceofwavesinrandomdiscretesystems AT johnpickton emergenceofwavesinrandomdiscretesystems AT keithiainhopcraft emergenceofwavesinrandomdiscretesystems AT ericjakeman emergenceofwavesinrandomdiscretesystems
_version_	1718384680063991808

The emergence of waves in random discrete systems

Ejemplares similares