A New Model for Ideal Gases. Decay to the Maxwellian Distribution

Details A New Model for Ideal Gases. Decay to the Maxwellian Distribution A New Model for Ideal Gases. Decay to the Maxwellian Distribution

2011-05-24

arxiv.org/abs/1105.4813v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

12 pages, 5 figures

Scientific paper

In this work, a new model in kinetic gas theory for deriving the Maxwellian Velocity Distribution (MVD) is proposed. We construct an operator that governs the discrete time evolution of the velocity distribution. This operator, which conserves the momentum and the energy of the ideal gas, has the MVD as a fixed point. Moreover, for any initial out-of-equilibrium velocity distribution, it is shown that the gas decays to the equilibrium distribution, that is, to the MVD.

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