%0 Journal Article %T Multicomponent Modified Boltzmann Equation and Thermalization %A M. Horv¨˘th %A T. S. Bir¨® %J Physics %D 2013 %I arXiv %R 10.1140/epjp/i2014-14165-4 %X The existence of stationary distributions in a multicomponent Boltzmann equation using a non-additive kinetic energy composition rule for binary collisions is discussed. It is found that detailed balance is not achieved when -- in contrast to the case of a single rule -- several different composition rules are considered. The long-time behaviour of a simple momentum space model is explored numerically: saturating, heating and cooling solutions are presented. %U http://arxiv.org/abs/1309.4940v2