  We investigate the relativistic mean field theory of nuclear matter at finite
temperature and baryon density taking into account of nonlinear statistical
effects, characterized by power-law quantum distributions. The analysis is
performed by requiring the Gibbs conditions on the global conservation of
baryon number and electric charge fraction. We show that such nonlinear
statistical effects play a crucial role in the equation of state and in the
formation of mixed phase also for small deviations from the standard
Boltzmann-Gibbs statistics.
