Introduce energy? There is already a shit ton of energy in the freezer. It's a couple of hundred degrees Kelvin in there. When a molecule of ice sublimates, then it takes heat from the air... the air cools down a fraction.
Humidity plays a role because once the air is saturated, no more evaporation can take place. I assumed evaporation was zero, and therefore humidity is also zero, in a freezer. Seems like I'm wrong.
So long as relative humidity is lower than 100%, then evaporation can take place. How much depends on temperature, pressure and relative humidity. My freezer's RH will be 100%, because there is no process which is removing the moisture from the air which I add when I open the door. At 100% RH, no evaporation takes place. Your freezer will have a lower RH, fuck knows how much lower but it's under 100%. Thus, evaporation, and indeed sublimation, can take place, because RH is <100%, and there is energy in the air. The molecules of vapour will eventually come into contact with the coil, and be removed from the system, thus reducing RH and allowing further sublimation.
If ice loss is a problem, you could simply seal them in something air tight. Problem solved.





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