Why the Maxwellian Distribution is the Attractive Fixed Point of the Boltzmann Equation
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🌊 nlin.CD
cond-mat.stat-mechcs.MAmath.STphysics.class-phstat.TH
keywords
distributionboltzmannmaxwellianalternativeapplicationsattractivederivationequation
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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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