Summary
A relativistic kinetic theory for massless particles is developed in which expressions for the transport coefficients in terms of the cross-section are found. Applied to a neutrino gas of temperatureT one obtains for the heat conductivityλ and the shear viscosityη the expressionsλ=5·1057 T −2 andη=9.3·1035 T −1 (cgs units). The volume viscosity vanishes.
Riassunto
Si sviluppa una teoria cinetica relativistica per particelle prive di massa in cui si trovano espressioni dei coefficienti di trasporto in funzione della sezione d’urto. Applicandola a un gas di neutrini a temperaturaT si ottengono per la conducibilità termicaλ e la viscosità di taglioη le espressioniλ=5·1057 T −2 edη=9.3·1035 T −1 (in unità cgs). La viscosità di volume si annulla.
Реэюме
Раэвивается релятивистская кинетическая теория для частиц с нулевой массой, в которой определены выражения для транспортных козффициентов череэ поперечные сечения. Применяя полученные реэультаты к гаэу нейтрино с температуройT, получаются следуюшие выражения для удельной теплопроводностиλ=5·1057 T−2 и сдвиговой вяэкостиη=9.3·1035 T−1 (в единицах СГС). Общемная вяэкость отсутствует.
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References
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ħ=1.0545919(80)·10−27 g cm2s−1,c=2.9979250(10)·1010cm s−1,k B=1.380622(59)·10−16 g cm2s−2°K−1 (Particle Data Group:Rev. Mod. Phys.,45, No. 2, Part II (1973)),G=1.4350(11)·10−49 g cm5s−2 (R. E. Marshak, Riazuddin andC. P. Ryan:Theory of Weak Interactions in Particle Physics (New York, N. Y., 1969), p. 39). The figures in parentheses indicate the uncertainty in the last two digits of the main number.
P. H. Meltzer: unpublished report.
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de Groot, S.R., van Leeuwen, W.A. & Meltzer, P.H. Transport coefficients of a neutrino gas. Nuov Cim A 25, 229–251 (1975). https://doi.org/10.1007/BF02729044
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DOI: https://doi.org/10.1007/BF02729044