Hello. I'm currently studying air liquefaction processes and I've come to Stirling-type cooler. With Linde, Claude, Heylandt and Kapitza cycles I find it very intuitive to get air cooled with throttling / expansion processes since they lower the temperature of incoming gas, but I am failing to understand how does a Stirling engine produce low temperature. I understand the basics of Stirling cycle and It's operation between Thigh and Tlow, but at the start of the operation (let's say from the moment of turning on the engine), how does a Stirling engine achieve It's low temperature? Is it right to conclude that both "air liquefaction chamber" and surroundings are at same temperature at the start of operation and Stirling engine keeps on "taking heat" from the "air liquefaction chamber" and dumping it to the surroundings until the temperature difference occurs?