jeanluct
commented
9 years ago New paper to add to the list:
Braiding a Flock: Winding Statistics of Interacting Flying Spins
Jean-Baptiste Caussin and Denis Bartolo Phys. Rev. Lett. 114, 258101 – Published 23 June 2015
ABSTRACT When animal groups move coherently in the form of a flock, their trajectories are not all parallel, the individuals exchange their position in the group. In this Letter, we introduce a measure of this mixing dynamics, which we quantify as the winding of the braid formed from the particle trajectories. Building on a paradigmatic flocking model we numerically and theoretically explain the winding statistics and show that it is predominantly set by the global twist of the trajectories as a consequence of a spontaneous symmetry breaking.
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.258101
Eventually start adding a list of projects that use braidlab, or perhaps Dynnikov coordinates in general. Maybe could put these in the braidlab guide.