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Rigorous analysis of the solution of the Boltzmann equation for a Maxwell-Lorentz gas in an electric field

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Il Nuovo Cimento B (1971-1996)

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Summary

In this paper a detailed analysis of the solution of the Boltzmann equation for a Maxwell-Lorentz gas in an electric field is presented. Both steady-state and unsteady-state distributions are considered. The conditions under which the isotropic part of the electron velocity distribution evolves towards a Maxwellian distribution are widely discussed. Results of other authors are tested in the light of the present theory.

Riassunto

In questo articolo si presenta un’analisi dettagliata della soluzione dell’equazione di Boltzmann per un gas di Maxwell-Lorentz in un campo elettrico. Si considerant) funzioni di distribuzione sia stazionarie che in evoluzione temporale. Si discutono ampiamente le oondizioni nelle quali la parte isotropa della funzione di distribuzione delle velocità elettroniche evolve verso una maxwelliana. I risultati di altri autori sono vagliati alla luce della presente teoria.

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References

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Work supported in part by the G.N.S.M.

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Braglia, G.L., Ferrari, L. Rigorous analysis of the solution of the Boltzmann equation for a Maxwell-Lorentz gas in an electric field. Nuov Cim B 7, 119–136 (1972). https://doi.org/10.1007/BF02827041

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  • DOI: https://doi.org/10.1007/BF02827041

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