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Fluctuation Theory for a Three-Dimensional Model of Maxwellian Molecules

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Abstract

Under suitable assumptions, a functional central limit theorem is obtained for a three-dimensional model of Maxwellian molecules. This model is related to a nonlinear Boltzmann-type equation. It will be proved that the family of the distributions induced by fluctuation processes converges weakly.

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Authors and Affiliations

  1. Department of Mathematics, Howard University, 2441 Sixth Street, NW, Washington, DC, 20059

    P. H. Bezandry & T. Diagana

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  1. P. H. Bezandry
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  2. T. Diagana
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Bezandry, P.H., Diagana, T. Fluctuation Theory for a Three-Dimensional Model of Maxwellian Molecules. Journal of Statistical Physics 110, 1375–1395 (2003). https://doi.org/10.1023/A:1022169532123

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  • DOI: https://doi.org/10.1023/A:1022169532123

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