Kiro Miyazaki
Relativistic nuclear matter in generalized thermo-statistics
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ABSTRACT.  The generalized Fermi-Dirac thermo-statistics is developed for relativistic nuclear matter. We introduce the generalized thermodynamic potential using the q-deformed exponential and logarithm. The baryon density has a form of the q-expectation value. Then, we use the mapping of the non-extensive thermo-statistics onto the extensive one. Therefore, the Clausius extensive entropy and the physical intensive temperature are determined through the Gibbs thermodynamic relation. The power-law index is constrained into a region 1<q<4/3 and assumed to be density dependent. The pressure-density isotherms exhibit the liquid-gas phase transition. The calculated critical temperature agrees with the experimental value for finite nuclei of intermediate masses. There is little difference in the boiling temperatures from the standard and generalized thermo-statistics, although the latter improves the caloric curve of nuclear liquid. It is found that the cut-off prescription by Teweldeberhan et al. for the generalized Fermi-Dirac distribution breaks the third-law of thermodynamics.