Stirling engine with a membrane connecting the piston to the cylinder of the Stirling engine and a method of using this Stirling engine

A method of using at least two Stirling engines comprising at least one cylinder with an expansion chamber and a compression chamber, and a power piston and a displacement piston that are located in the at least one cylinder;

• wherein the at least one cylinder further comprises at least one regenerator connecting the expansion chamber and the compression chamber;
• wherein the at least one cylinder comprises at least one heat exchanger, and at least one heat sink;
• and
• wherein a working medium is present in the expansion chamber, the compression chamber and the at least one regenerator,
• wherein at least one engine of the at least two Stirling engines comprises at least one membrane that connects at least one of the pistons to the at least one cylinder, wherein the compression chamber at least in part surrounds cylindrically the expansion chamber of a working cylinder of the at least one cylinder,
• wherein the at least two engines are coupled such that at least one engine of the at least two Stirling engines functions as a thermal prime mover and drives a second engine of the at least two Stirling engines, operating inversely as a cooling engine or heat pump.