Abstract
Take a number of ball bearings onto a tray with edges and shake it in random directions in the plane, Figure 1. Where do they go? You will see that they will hit each other, scatter, and turn and move in random directions in an apparently chaotic fashion. The paths traced out by the balls will be very intricate and will perform a complicated dance as they move about one another. It will be hard to encode the choreography of this dance, and there is no easy solution to this problem. We have to rely on approximations and computer simulations that can predict the trajectories of the balls in the short term, but will eventually be so uncertain that we have to give up in the long term.
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Skjeltorp, A.T. (2002). When Topology Meets Dynamics: Braids of Particle Motion and Chirality. In: Skjeltorp, A.T., Vicsek, T. (eds) Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations. NATO Science Series, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0419-0_8
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DOI: https://doi.org/10.1007/978-94-010-0419-0_8
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