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

2006/11/23 by Ricardo López‐Ruiz, Ricardo Lopez-Ruiz, Lopez-Ruiz, Ricardo +2
Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #Classical Physics (physics.class-ph) #Complex Systems and Time Series Analysis #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Multiagent Systems (cs.MA) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Statistics Theory (math.ST) #cond-mat.stat-mech #cs.MA #math.ST #nlin.CD #physics.class-ph #stat.TH

paper · pdf · doi:10.48550/arxiv.nlin/0611044

2 pages; 0 figures

arxiv created 2006/11/23 · openalex publication_date 2006/11/23 · arxiv updated 2011/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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