  We study an effective relativistic mean-field model of nuclear matter with
arbitrary proton fraction at finite temperature in the framework of
nonextensive statistical mechanics, characterized by power-law quantum
distributions. We investigate the presence of thermodynamic instability in a
warm and asymmetric nuclear medium and study the consequent nuclear liquid-gas
phase transition by requiring the Gibbs conditions on the global conservation
of baryon number and electric charge fraction. We show that nonextensive
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.
