Billiard dynamics of bouncing dumbbell

Y. Baryshnikov, V. Blumen, K. Kim, V. Zharnitsky

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1 Citation (Scopus)

Abstract

A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case the ratio of masses is large and the dumbbell rotates fast, an adiabatic invariant is obtained.

Original languageEnglish
Pages (from-to)21-27
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume269
DOIs
Publication statusPublished - Feb 15 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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    Baryshnikov, Y., Blumen, V., Kim, K., & Zharnitsky, V. (2014). Billiard dynamics of bouncing dumbbell. Physica D: Nonlinear Phenomena, 269, 21-27. https://doi.org/10.1016/j.physd.2013.11.007