A GEOMETRIC APPROACH TO INELASTIC COLLAPSE

Bernard Chazelle, Kritkorn Karntikoon, Yufei Zheng

Research output: Contribution to journalArticlepeer-review

Abstract

We show in this note how to interpret logarithmic spiral tilings as one-dimensional particle systems undergoing inelastic collapse. By deforming the spirals ap-propriately, 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.

Original languageEnglish (US)
Pages (from-to)197-203
Number of pages7
JournalJournal of Computational Geometry
Volume13
Issue number1
DOIs
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Computer Science Applications
  • Computational Theory and Mathematics

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