Why the Maxwellian Distribution is the Attractive Fixed Point of the Boltzmann Equation
<|reference_start|>Why the Maxwellian Distribution is the Attractive Fixed Point of the Boltzmann Equation: The origin of the Boltzmann factor is revisited. An alternative derivation from the microcanonical picture is given. The Maxwellian distribution in a mono-dimensional ideal gas is obtained by following this insight. Other possible applications, as for instance the obtaining of the wealth distribution in the human society, are suggested in the remarks.<|reference_end|>
@article{lopez-ruiz2006why,
    title={Why the Maxwellian Distribution is the Attractive Fixed Point of the
  Boltzmann Equation},
    author={Ricardo Lopez-Ruiz and Xavier Calbet},
    journal={arXiv preprint arXiv:nlin/0611044},
    year={2006},
    archivePrefix={arXiv},
    eprint={nlin/0611044},
    primaryClass={nlin.CD cond-mat.stat-mech cs.MA math.ST physics.class-ph stat.TH}
}