A geometric approach to inelastic collapse

Authors

  • Yufei Zheng Princeton University
  • Kritkorn Karntikoon Princeton University
  • Bernard Chazelle

DOI:

https://doi.org/10.20382/jocg.v13i1a7

Abstract

We show in this note how to interpret logarithmic spiral tilings as one-dimensional particle systems undergoing inelastic collapse. By deforming the spirals appropriately, we can simulate collisions among particles with distinct or varying coefficients of restitution. Our geometric constructions provide a strikingly simple illustration of a widely studied phenomenon in the physics of dissipative gases: the collapse of inelastic particles.

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Published

2022-04-25

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Section

Articles