Kaylee:
Interesting concept. You are talking about changing from an exothermic combustion reaction to an endothermic phase change. Remember, energy is energy. To get that bullet to fly, the energy has to come from somewhere, i.e. heat.
The BTU's you are pumping out of an exothermic combustion reaction are expanding the product gasses, and those BTU's would have to be equalled if you were sucking heat out of a system to expand gas.
Your substance would have to have an extremely low vapor pressure. I'm neither a chemist nor a physicist (just a lowly Mechanical Engineer), but this material would need to be stored either under very high pressure or very low temperature or a combination of the two. A possible solution in use in airsoft and paintball for a while was chloro-flouro-hydrocarbons (Freon). This stuff is good for low velocity and low weight projectiles because the vapor pressure was pretty high at room temp (the temp at which the phase change is taking place for these guns), but it also had a high heat capacity.
Immediately upon firing, heat would be removed from the material and surroundings (barrel, bolt, air) and used to propel the bullet. The heat transfer is spontaneous because the phase change is not a chemical reaction with reactants and products and governed by a rate equation.
The heat transfer rate is dependent upon the difference in temperature between the material and its surroundings, and as the barrel and bolt are cooled by firing, the sublimation will slow. The barrel would have to heat back up to return the process to its original rate.
The cool barrel would be heated by the ambient air. So the cold barrel hits warm air, the air touching the barrel cools and drifts away being replaced by more air. This process is slower than contact conduction between the material and the barrel, also the air is not very hot. I don't see the gun being warmed fast enough for this process to work.
Also, as the air cools, moisture will condense on the gun. If the barrel goes below 32 degrees F, it will frost. Now you have a frost layer on moving parts causing jams.
I don't see it happening anytime soon.
Bear Flare