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- W2083774865 abstract "The thermodynamic variables of a relativistic gas in collision-dominated equilibrium are investigated as functions of the particle number density n and the entropy per unit volume s. Two first-order linear partial differential equations are derived for the absolute temperature T(n,s) and the chemical potential per particle K(n,s). The equations depend on the pressure p that has to be specified through an equation of state. General solutions for T(n,s), K(n,s), and the total energy density μ(n,s) are obtained for a relativistic Maxwell–Boltzmann gas for which the perfect gas law p=nkT must hold, where k is Boltzmann’s constant, and for gases with equations of state p=(γ−1)μ(1≤γ≤2) and μ=ρ+[p/(γ−1)](1<γ≤2) where γ is a constant and ρ is the rest-mass density. It is shown that if p=(γ−1)μ then T is a homogeneous function of degree γ−1 in n and s, which extends from γ=2 to 1≤γ≤2 a result established by Oliver and Davis [Ann. Inst. H. Poincaré 30, 339 (1979)]. The modification of this result for the equation of state μ=ρ+p/(γ−1) is determined. For a relativistic Maxwell–Boltzmann gas for which both p=nkT and either p=(γ−1)μ or μ=ρ+p/(γ−1) are satisfied, T(n,s), K(n,s), and μ(n,s) are determined up to an arbitrary constant." @default.
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- W2083774865 date "1991-02-01" @default.
- W2083774865 modified "2023-09-24" @default.
- W2083774865 title "Thermodynamic variables of a relativisitic gas in collision‐dominated equilibrium" @default.
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- W2083774865 doi "https://doi.org/10.1063/1.529441" @default.
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