In thermodynamics, relativistic thermodynamics is the study of the implications of the theory of relativity, e.g. that there is a limit to the speeds of particles, that hot bodies weigh more than cold bodies, etc., in thermodynamics. [1] American engineer Richard Weiss seems to done some of the first publications on this subject. [2]

References
1. (a) Muller, Ingo. (2007). A History of Thermodynamics - the Doctrine of Energy and Entropy, (ch. 10: Relativistic Thermodynamics, pgs. 289-305). New York: Springer.
(d) Müller, Ingo. (1985). Thermodynamics, (pg. 375). Pitman.
2. (a) Weiss, Richard A. (1976). Relativistic Thermodynamics, Vol. 1. Exposition Press.
(b) Weiss, Richard A. (1976). Relativistic Thermodynamics, Vol. 2. Exposition Press.

Further reading
● Muschik, Wolfgang and Borzeszkowski, H.-H. V. (2008). “Entropy Identity and Material-Independent Equilibrium Conditions in Relativistic Thermodynamics.” (Abstract) (PDF) arXiv.org in General Relativity and Quantum Cosmology, April 16.

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