Exact and approximate generalized diffusion equation for the Lorentz gas (Q1079721)
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scientific article; zbMATH DE number 3964412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact and approximate generalized diffusion equation for the Lorentz gas |
scientific article; zbMATH DE number 3964412 |
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Exact and approximate generalized diffusion equation for the Lorentz gas (English)
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1984
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The Lorentz model of a rarefied gas is used for testing two different methods of solving the Boltzmann kinetic equation. It is shown that the Zwanzig-Mori method gives generalized diffusion equation which agrees with the exact Hauge solution. The Zubarev-Khonkin approach gives a series expansion of the exact generalized diffusion coefficient. Their method is compared with the Chapman-Enskog method.
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Lorentz model of a rarefied gas
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Boltzmann kinetic equation
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Zwanzig-Mori method
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Hauge solution
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Zubarev-Khonkin approach
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Chapman-Enskog method
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