We will explore the behavior of systems of a large number of hard balls under elastic collisions. 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 $n\geq 3$ and $d\geq 2$. The previously known lower bound was of order $n^2$.
Pontificia Universidad Católica de Chile (PUC-Chile)
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Facultad de Ciencias Físicas y Matemáticas (FCFM)
Universidad de Chile
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Santiago – Chile