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 .
|Number of pages||33|
|Journal||Communications in Mathematical Physics|
|Publication status||Published - 1 Jan 2019|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics