The liquid-gas phase transition in hot asymmetric nuclear matter is studiedwithin density-dependent relativistic mean-field models where the densitydependence is introduced according to the Brown-Rho scaling and constrained byavailable data at low densities and empirical properties of nuclear matter. Thecritical temperature of the liquid-gas phase transition is obtained to be 15.7MeV in symmetric nuclear matter falling on the lower edge of the smallexperimental error bars. In hot asymmetric matter, the boundary of thephase-coexistence region is found to be sensitive to the density dependence ofthe symmetry energy. The critical pressure and the area of phase-coexistenceregion increases clearly with the softening of the symmetry energy. Thecritical temperature of hot asymmetric matter separating the gas phase from theLG coexistence phase is found to be higher for the softer symmetry energy.
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