Abstract
On the basis of the Tsallis' nonextensive thermostatistics, we study a generalized relativistic thermodynamics and the equation of state for an ideal gas. These results are extended to derive the relativistic nuclear equation of state in the hadronic and in the quark-gluon plasma phase. We show that small deviations from the standard extensive statistics, due to long-range and memory interactions between particles inside the non-ideal plasma at high temperature and density, imply remarkable effects in the shape of the nuclear equation of state.
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