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It is believed that there exists a rich phase structure of quantumchromodynamics (QCD) at finite temperature and baryon density, namely, thedeconfinement process from hadron gas to quark-gluon plasma, the transitionfrom chiral symmetry breaking phase to the symmetry restoration phase, and thecolor superconductivity at low temperature and high baryon density. In thepresent work we study the hadron-quark phase transition by investigating thebinodal surface and extending it to finite temperature in order to mimic theQCD phase diagram. In order to obtain these conditions we use different modelsfor the two possible phases, namely the quark and hadron phases. The phaseseparation boundary (binodal) is determined by the Gibbs criteria for phaseequilibrium. The boundaries of the mixed phase and the related critical pointsfor symmetric and asymmetric matter are obtained. Isospin effects appear to berather significant. The critical endpoint (CEP) and the phase structure arealso studied in the Polyakov-loop extended Nambu-Jona-Lasinio model.

Phase structure of hadronic and Polyakov-loop extended NJL model at finite isospin density