Abstract: Methods for catalyzing the low temperature, oxidative destruction of organic matter, particularly the incomplete combustion products of carbon-containing fuels such as fossil fuels. The methods and systems utilize a catalytically reactive media that is suspended by moving air within a reaction chamber and that is maintained at a temperature sufficient to cause the suspended media particles, typically silica sand, silica gel, or alumina, to become catalytically reactive in the presence of moisture. Typically, the reaction chamber is maintained at a temperature in a range from about 200.degree. C. to about 500.degree. C. Moisture may be provided by the organic matter, although additional moisture may be introduced into the reaction chamber in order to maintain reactivity of the media particles. The apparatus can be adapted to be used in combination with diesel engines or other internal combustion engines and industrial burners.