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Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas

Michel Droz, Pierre-Antoine Rey, Laurent Frachebourg, Jarosław Piasecki

cond-matarXiv:cond-mat/9412099

Abstract

Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas is studied in the framework of an exact analytic approach. For an initial symmetric three-velocity distribution, the problem can be solved exactly and it is shown that different regimes exist depending on the initial fraction of particles at rest. Extension to the case of a n-velocity distribution is discussed.

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