The world is once again beginning to take an interest in refrigeration devices without moving parts. More precisely, Oxford University has taken an interest.
This fridge is interesting purely because of the rather famous name on the patent: Albert Einstein. However it seems that the real inventor was his colleague Leo Szilard. Albert, who was already famous in 1927, consented to put his name on the patent in order to lend it prominence.
The patent was purchased by a competitor. The details are on wikipedia. The low-tech but low-yield technology was sunk under the weight of the vastly more efficient mechanical vapour compression technology we have come to love, and that is where it has sat for the last 80 years.
Now there are some reasons why there has been a resurgence of interest. With evacuated tube technology, CLFR concentrators, and rising fossil energy costs, the time to revisit this area has never been better.
Presumably the patent has also expired. Mostly it is just interesting for its own sake. Researchers at Oxford University have claimed that with a different choice of gases, the efficiency might be greatly improved.
What follows is my own layman explanation of how this fridge works, and some thoughts on the challenges of building one.
Basically the picture from the patent application is as follows:

Now as for the parts which have been labelled:
1 – Evaporator containing liquid butane. This is the cold part
5 – Conduit linking evaporator and condenser.
6 – Condenser where butane gas is recondensed.
12 – cooling water jacket
26 – ammonia solution
27 – conduit
28 – heat exchanger jacket
29 – generator, heated in any suitable manner. Contains ammonia solution.
30 – conduit
31 – distributor head introducing ammonia gas
32 – conduit
33 – container of hot weak ammonia solution
35 – distributor head spraying water.
36 – source of heat
37 – conduit
Now container 1 will be applied to the body to be cooled. The heat source will be applied to container 29 and the conduit pipe 36.
The cooling is effected by ammonia gas being introduced into container 1. This causes the liquid butane to boil and produce the cooling effect.
The butane gas travels to condenser 6 where water is introduced in order to dissolve and thus remove the ammonia. This causes a liquifaction of the butane which is then available for reuse.
The strong water-ammonia solution at the bottom of the condenser 6, flows through a cooling jacket where it is used to cool the hot weak ammonia solution coming from 33.
More heat is applied to this strong ammonia solution in 29, to drive off the ammonia through 30, where it is cooled in cooling jacket 5, before being re-introduced into the evaporator to continue the cooling effect.
So that’s it. On the Alibaba site, you can find any number of adsorption chillers. These all use 80C water, say from a solar collector, to dehydrate a lithium bromide brine which is an exothermic reaction. The brine can then be cooled to ambient and when it is rehydrated, it chills water by about 10C.
The Einstein Szilard fridge could become another alternative to this. After all we know that lithium has other more important uses.
For a comprehensive thermodynamic analysis, read this paper published on the Georgia Tech website.