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Based on the equations established in this study, a 0D simulator was developed in Python (entirely by AI, including documentation) in order to determine the optimal dimensions and parameters of this machine in various configurations: Dada_Engine_Solver. I used it to size a cooling cell using air as working gas, powered by a pedal mechanism. I hope to size an air small demonstrator engine in the coming weeks, followed by a heat pump and a motor using helium as working gas.