Why the Maxwellian Distribution is the Attractive Fixed Point of the Boltzmann Equation

Ricardo Lopez-Ruiz; Xavier Calbet

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arXiv · nlin/0611044

Why the Maxwellian Distribution is the Attractive Fixed Point of the Boltzmann Equation

Ricardo Lopez-Ruiz·Xavier Calbet

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Abstract

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.

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nlin.CD cond-mat.stat-mech cs.MA math.ST physics.class-ph stat.TH

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Ricardo Lopez-Ruiz, Xavier Calbet. 2006-11-23. Why the Maxwellian Distribution is the Attractive Fixed Point of the Boltzmann Equation. https://arxiv.org/abs/nlin/0611044

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