A Lower Bound for the Number of Elastic Collisions

Krzysztof Burdzy, Mauricio Duarte

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We prove by example that the number of elastic collisions of n balls of equal mass and equal size in d-dimensional space can be greater than n 3 /27 for n≥ 3 and d≥ 2. The previously known lower bound was of order n 2 .

Original languageEnglish
JournalCommunications in Mathematical Physics
DOIs
Publication statusPublished - 1 Jan 2019

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Elastic collision
balls
elastic scattering
Lower bound
Ball

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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A Lower Bound for the Number of Elastic Collisions. / Burdzy, Krzysztof; Duarte, Mauricio.

In: Communications in Mathematical Physics, 01.01.2019.

Research output: Contribution to journalArticle

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