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Adiabatic equations of state for scalar pressure and anisotropic diagonal pressure have been obtained for intense, relativistic, unneutralized electron beams. These adiabatic equations of state complete the set of fluid equations needed to study beam dynamics and interactions from the fluid point of view. In particular, they facilitate the inclusion of thermal effects of momentum spread effects in stability analyses.
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John G. Siambis (1979) studied this question.
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