EFR1051

Relativistic Thermodynamics: an end to 100 years of controversies!

Relativistic thermodynamics has been a controversial subject ever since Einstein first considered the consequences of his new-born theory on quantities like temperature in 1907. Since then the correct relativistic generalization of temperature as well as the famous Maxwell-Boltzmann (MB) velocity distribution, which allows for speeds larger than speed of light, have been hotly debated. Using a simple realistic model of a relativistic gas, we have recently shown (Phys.Rev. E 79, 031124) that Juttner distribution is the correct generalization of MB distribution, while providing strong evidence for the invariance of temperature. In the present paper, we consider the same model under time reparametrization, a possibility that only exists in relativity and has been argued to alter our previous conclusions. Here, again, we show that temperature remains invariant under such reparametrization and that Juttner distribution is simply rescaled by a velocity dependent factor belonging to the (proper) time parameter. Our work provides strong evidence for the invariance of temperature and the legitimacy of Juttner distribution in relativistic generalization of thermodynamics. This, we hope, brings to an end more than