Journal
NEW JOURNAL OF PHYSICS
Volume 16, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/16/8/082002
Keywords
swarming; active matter; metric free; flocking
Categories
Funding
- UK Engineering and Physical Sciences Research Council through the MOAC Doctoral Training Centre
- [EP/E501311/1]
- Engineering and Physical Sciences Research Council [EP/I005439/1] Funding Source: researchfish
- EPSRC [EP/I005439/1] Funding Source: UKRI
Ask authors/readers for more resources
There is now experimental evidence that nearest-neighbour interactions in flocks of birds are metric free, i.e. they have no characteristic interaction length scale. However, models that involve interactions between neighbours that are assigned topologically are naturally invariant under spatial expansion, supporting a continuous reduction in density towards zero, unless additional cohesive interactions are introduced or the density is artificially controlled, e. g. via a finite system size. We propose a solution that involves a metric-free motional bias on those individuals that are topologically identified to be on an edge of the swarm. This model has only two primary control parameters, one controlling the relative strength of stochastic noise to the degree of co-alignment and another controlling the degree of the motional bias for those on the edge, relative to the tendency to co-align. We find a novel power-law scaling of the real-space density with the number of individuals N as well as a familiar order-to-disorder transition.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available