Topological Optimization of Rod-Stirring Devices

@article{Finn2011TopologicalOO,
  title={Topological Optimization of Rod-Stirring Devices},
  author={Matthew D. Finn and Jean-Luc Thiffeault},
  journal={SIAM Rev.},
  year={2011},
  volume={53},
  pages={723-743}
}
There are many industrial situations where rods are used to stir a fluid, or where rods repeatedly knead a material such as bread dough or taffy. The goal in these applications is to stretch either material lines (in a fluid) or the material itself (for dough or taffy) as rapidly as possible. The growth rate of material lines is conveniently given by the topological entropy of the rod motion. We discuss the problem of optimizing such rod devices from a topological viewpoint. We express rod… Expand
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