The Boltzmann-Sinai Ergodic Hypothesis for Hard Ball Systems
The Boltzmann-Sinai Ergodic Hypothesis for Hard Ball Systems
N. Simányi and D. Szász
The Boltzmann-Sinai Ergodic Hypothesis for Hard Ball Systems
We consider the system of $N$ ($\ge 2$) elastically colliding hard balls
with masses $m_1,\dots,m_N$ moving uniformly in the flat unit torus
$\Bbb T^{\nu}$, $\nu\ge 3$. It is proved here that the arising billiard flow
possesses the K-mixing property for almost every distribution of the masses
$m_1,\dots,m_N$.