Entropy, Vol. 19, Pages 374: Comparative Analysis of Jüttner`s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and Cosmology (Entropy)

Jüttner used the conventional theory of relativistic statistical mechanics to calculate the energy of a relativistic ideal gas in 1911. An alternative derivation of the energy of a relativistic ideal gas was published by Horwitz, Schieve and Piron in 1981 within the context of parametrized relativistic statistical mechanics. The resulting energy in the ultrarelativistic regime differs from Jüttner`s result. We review the derivations of energy and identify physical regimes for testing the validity of the two theories in accelerator physics and cosmology.