Notes on thermodynamics in special relativity

The foundations of thermodynamics in the special theory of relativity are considered. We argue that, from the phenomenological point of view, the most natural relativistic transformations of heat and absolute temperature are given by the formulae proposed by Ott, Arzeliès and Møller. It is shown that the same transformation rules can also be found from the relativistic Gibbs distribution for an ideal gas. This distribution has recently been verified by computer simulations. Phenomenological and statistical thermometers in relativistic thermodynamics are analyzed.