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The degenerate fermi gas in relativistic fluid dynamics

Вырожденный Ферми-гаэ в релятивистской гидродинамике

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

In this paper it is shown how a particular equation of state permits one to reduce, via a simple change of independent variables, the equation describing the one-dimensional relativistic fluid in the hodograph plane to an equation integrable in an elementary way. The physical significance of the foregoing equation of state is discussed and a comparison is made with the pressure law that a relativistically degenerate Fermi gas obeys.

Riassunto

In questo lavoro si mostra come una particolare equazione di stato permette di ridurre l’equazione che descrive nel piano odografo il moto di un fluido relativistico unidimensionale ad un’equazione integrabile per via elementare. Si discute il significato fisico della suddetta equazione di stato e si fa un confronto con la legge di pressione di un gas di Fermi relativistico completamente degenere.

Реэюме

В Этой статье мы покаэываем, как уравнение состояния поэволяет, путем эамены неэависимых переменных, преобраэоватя уравнение, описываюшее одномерную релятивистскую жидкость в плоскости годографа, в уравнение, интегрируемое Элементарным обраэом. Обсуждается фиэический смысл исходного уравнения состояния. Проводится сравнение с эаконом для давления, которому подчиняется релятивистский вырожденный Ферми-гаэ.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica dell’Università, Catania

    P. Carbonaro

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  1. P. Carbonaro
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Additional information

Finantial supports by the Consiglio Nazionale delle Ricerche (G.N.F.M. group) and by the Ministero della Pubblica Istruzione are also acknowledged.

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Carbonaro, P. The degenerate fermi gas in relativistic fluid dynamics. Il Nuovo Cimento B 103, 485–496 (1989). https://doi.org/10.1007/BF02753134

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  • DOI: https://doi.org/10.1007/BF02753134

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