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arxiv: 1309.4940 · v2 · pith:Y6O75GJUnew · submitted 2013-09-19 · ❄️ cond-mat.stat-mech · hep-ph

Multicomponent Modified Boltzmann Equation and Thermalization

classification ❄️ cond-mat.stat-mech hep-ph
keywords boltzmanncompositionequationmulticomponentruleachievedbalancebehaviour
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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.

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