Adsorption refrigeration is very similar to absorption refrigeration (note that the second letter is different). The difference is that in adsorption refrigeration, the working fluid (refrigerant or adsorbate) molecules adsorb onto the surface of a solid instead of dissolving into a fluid. The step in which heat is added results in working fluid molecules desorbing from the solid. The adsorbate could be gaseous state, ammonia, water, methanol, etc, while the adsorbent is a solid, such as silicone gel, activated carbon, zeolite, unlike in the absorption refrigeration where absobent is usually liquid. With these differences in mind, most of what is said in the absorption refrigerator article applies to adsorption refrigerators.
Adsorption refrigerators are available in the marketplace and are mainly used to produce chilled water from waste heat.