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We study the low-temperature transport properties of out-of-equilibrium XXZ spin-1/2 chains. We consider the protocol where two semi-infinite chains are prepared in two thermal states at small but different temperatures and suddenly joined together. We focus on the qualitative and quantitative features of the profiles of local observables, which at large times t and distances x from the junction become functions of the ratio ζ=x/t. By means of the generalized hydrodynamic equations, we analysedoi:10.1088/1742-5468/aab04b fatcat:rtobcmjrtbdcbhz6ul2u5r4m44