Signatures of the QCD Phase Transition at finite Isopin, R. Stiele, Institute for Theoretical Physics, Heidelberg University, Germany In relativistic heavy ion collisions the isospin and charge density vary with the used nuclei. Hence, for the search of signatures of the QCD phase transition, their dependence on finite net densities should be taken into account. We investigate the phase structure of QCD for finite net quark flavor and isospin densities within an effective 2+1 flavor model that includes chiral symmetry, scale symmetry and center symmetry breaking and restoration. The phase diagram becomes a function of the isospin. We present our results on the phase diagram as a function of the respective asymmetries according to our beyond mean-field study of fluctuations and susceptibilities and show our results for the speed of sound and the trace anomaly and equation of state.