The emergence of waves in random discrete systemsTools 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 Full text not available from this repository.
Official URL: http://www.nature.com/articles/s41598-016-0022-3
AbstractEssential 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.
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