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Generalized Boltzmann equation for many-body distributions

Обобщенное уравнение Больцмана для многочастичных распределений

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Il Nuovo Cimento B (1971-1996)

Summary

A kinetic equation is derived for the general many-body distribution function in a dilute system. The collision integral is valid for times of the order of mean free time. AnH-theorem is proved, showing the irreversible nature of the evolution of initial distributions.

Riassunto

Si deriva un’equazione cinetica per la funzione di distribuzione generale a molti corpi in un sistema diluito. L’integrale di collisione è valido per tempi dell’ordine del tempo libero medio. Si prova un teoremaH che mostra la natura irreversibile dell’evoluzione delle distribuzioni iniziali.

Резюме

Выводится кинетическое уравнение для многочастичной функции распределения. Интеграл соударений справедлив для времен порядка среднего времени свободного пробега. ДоказываетсяH-теорема, показываюшая неприводимый характер эволюции начальных распределений.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, Chicago Circle, Box 4348, 60680, Chicago, Ill.

    G. V. Ramanathan

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  1. G. V. Ramanathan
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Additional information

Supported by National Science Foundation grant Number NSF 75-07391.

Traduzione a cura della Redazione.

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Ramanathan, G.V. Generalized Boltzmann equation for many-body distributions. Nuov Cim B 49, 31–44 (1979). https://doi.org/10.1007/BF02737472

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  • DOI: https://doi.org/10.1007/BF02737472

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