Billiard systems change character of dynamics with different billiard ball radius

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  • Leonid Bunimovich Leonid Bunimovich

In the transition from mathematical billiards to physical billiards, where a ball goes from being a point particle to having a positive radius, it may seem intuitive to assume that no categorical difference exists between the two. A new proof-of-concept paper by Leonid Bunimovich says otherwise. Bunimovich discovered as the radius of a physical billiard ball increases, the change in the behavior of the entire system is equivalent to modeling mathematical billiards with a smaller table. With increasing radius, the geometry of the system evolves. For instance, some parts of the table may become inaccessible to the ball. This results in a progression in the dynamics of the system between mathematical and physical cases, and it may become more or less chaotic with changing radius.

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College of Sciences, School of Mathematics

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  • Created By: A. Maureen Rouhi
  • Workflow Status: Published
  • Created On: Sep 23, 2019 - 6:34pm
  • Last Updated: Nov 7, 2019 - 10:17am