  Thermodynamics of systems moving with relativistic velocities is directly
derived from the Lorentz transformation of four-momentum. It is shown that
eight different perspectives on relativistic thermodynamics can be determined
in the framework of the fundamental ensemble. However, only two sets of
relativistic transformations for the physical thermodynamic quantities are
consistent with the requirements of the special theory of relativity and the
Hamiltonian and Lagrangian mechanics. These relativistic transformations are
equivalent and correspond exactly to the Planck transformations for physical
temperature and physical chemical potential. Other six sets of relativistic
transformations of thermodynamic quantities are either unphysical due to the
dependence of rest energy of the thermodynamic system on 3-velocity and
3-momentum or forbidden by the Hamiltonian and Lagrangian mechanics. It is
found that the relativistic transformations for unphysical thermodynamic
quantities corresponding to Planck's and Ott's transformations are unphysical
and contradict the requirements of the special theory of relativity. The four
classes of the obtained relativistic transformations of the physical
thermodynamic quantities are compared by studying the thermodynamic properties
of a relativistically moving system of the quark-gluon plasma (QGP).
