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• W2912052489 abstract "The necessary and sufficient condition for a conservative perfect fluid energy tensor to be the energetic evolution of a classical ideal gas is obtained. This condition forces the square of the speed of sound to have the form ${c}_{s}^{2}=frac{ensuremath{gamma}p}{ensuremath{rho}+p}$ in terms of the hydrodynamic quantities, energy density $ensuremath{rho}$ and pressure $p$, $ensuremath{gamma}$ being the (constant) adiabatic index. The inverse problem for this case is also solved, that is, the determination of all the fluids whose evolutions are represented by a conservative energy tensor endowed with the above expression of ${c}_{s}^{2}$, and it shows that these fluids are, and only are, those fulfilling a Poisson law. The relativistic compressibility conditions for the classical ideal gases and the Poisson gases are analyzed in depth and the values for the adiabatic index $ensuremath{gamma}$ for which the compressibility conditions hold in physically relevant ranges of the hydrodynamic quantities $ensuremath{rho}$, $p$ are obtained. Some scenarios that model isothermal or isentropic evolutions of a classical ideal gas are revisited, and preliminary results are presented in applying our hydrodynamic approach to looking for perfect fluid solutions that model the evolution of a classical ideal gas or of a Poisson gas." @default.
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• W2912052489 date "2019-04-17" @default.
• W2912052489 modified "2023-10-14" @default.
• W2912052489 title "Relativistic hydrodynamic approach to the classical ideal gas" @default.
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• W2912052489 doi "https://doi.org/10.1103/physrevd.99.084035" @default.
• W2912052489 hasPublicationYear "2019" @default.
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