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Chapman-Enskog expansion of the Boltzmann equation and its diagrammatic interpretation

M. E. Carrington·Hou Defu·R. Kobes
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Abstract

We perform a Chapman-Enskog expansion of the Boltzmann equation keeping up to quadratic contributions. We obtain a generalized nonlinear Kubo formula, and a set of integral equations which resum ladder and extended ladder diagrams. We show that these two equations have exactly the same structure, and thus provide a diagrammatic interpretation of the Chapman-Enskog expansion of the Boltzmann equation, up to quadratic order.

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M. E. Carrington, Hou Defu, R. Kobes. 2001-11-30. Chapman-Enskog expansion of the Boltzmann equation and its diagrammatic interpretation. https://doi.org/10.1142/9789812778048_0035

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