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

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

2006-11-23

arxiv.org/abs/nlin/0611044v1

Nonlinear Sciences

Chaotic Dynamics

2 pages; 0 figures

Scientific paper

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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