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A geometric approach to inelastic collapse

Author(s): Chazelle, Bernard; Karntikoon, Kritkorn; Zheng, Yufei

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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.
Publication Date: 2022
DOI: 10.20382/jocg.v13i1a7
ISSN: 1920-180X
Type of Material: Journal Article
Journal/Proceeding Title: Journal of Computational Geometry
Version: Final published version. This is an open access article.

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