Abstract
We define an integral transform of the energy distribution function for an isotropic and homogeneous diluted gas. It may be interpreted as a linear combination of equilibrium states with variable temperatures. We show that the temporal evolution features of the distribution function are determined by the singularities of this temperature transform. We compare the relaxation to the equilibrium process for Maxwell and very hard-particle interaction models, finding many basic discrepancies. Finally, we formulate an alternative approach, which is given by anN-pole approximation with a clear physical meaning.
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Fellow of the Conselho Nacional de Desenvolvimento Cientifico e Tecnólogico, Brazil.
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Barrachina, R.O., Fujii, D.H. & Garibotti, C.R. Temperature transform of the Boltzmann equation. J Stat Phys 45, 647–668 (1986). https://doi.org/10.1007/BF01021089
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DOI: https://doi.org/10.1007/BF01021089