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We present a new method to interpolate between two matter phases that allowsfor a description of mixed phases and can be used, e.g., for mimickingtransitions between pasta structures occuring in the crust as well as in theinner core of compact stars. This interpolation method is based on assumingswitch functions that are used to define a mixture of subphases whilefulfilling constraints of thermodynamic stability. The width of the transitiondepends on a free parameter, the pressure increment relative to the criticalpressure of a Maxwell construction. As an example we present a trigonometricfunction ansatz for the switch function together with a pressure incrementduring the transition. We note that the resulting mixed phase equation of statebears similarities with the appearance of substitutional compounds in neutronstar crusts and with the sequence of transitions between different pasta phasesin the hadron-to-quark matter transition. We apply this method to the case of ahadron-to-quark matter transition and test the robustness of the compact starmass twin phenomenon against the appearance of pasta phases modeled in thisway.

A mixing interpolation method to mimic pasta phases in compact star matter