Yes a cold blast is possible, but difficult to manage.
1) Spontaneously generate a super cold gas.
Imagine if you will, a 1000 gallon tank of liquid nitrogen exploding due to pressure. THAT is a cold blast. Magic just makes getting the liquid nitrogen dispersed in the air that mush easier.
2) Run a highly endothermic reaction.
Possible but difficult to manage. Sucking up that much heat usually means that the products are way higher energy than the reactants, so normal thermodynamics says this type of reaction is not favored. There are tons of reactions that follow non-standard kinetics. I'll due some more research.
3) Expansion of a gas.
This is how your air conditioner works. High pressure liquid expands to gasses. If the total energy of the system is to remain constant, since energy cannot be created or destroyed unless you are hurting reality's brain by going REALLY fast, the energy comes from the average kinetic energy of the molecules. This is observed as a drop in temperature.
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As far as waves:
Microwave = EM radiation like light, only at a different wavelength. It is a phenomena like all EM radiation that has properties of both energy and matter.
Sound = propagation of vibrational wave through a media.
We can cook chicken by shining a really high energy flashlight, but I have never seen an idea for an oven based on shaking the chicken really fast.
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DnD:
Energy substitution is cool. If your players are metagaming make your feinds sound resistant and vulnerable to small plush toys.
--
As far as waves:
Microwave = EM radiation like light, only at a different wavelength. It is a phenomena like all EM radiation that has properties of both energy and matter.
Sound = propagation of vibrational wave through a media.
We can cook chicken by shining a really high energy flashlight, but I have never seen an idea for an oven based on shaking the chicken really fast.
--
DnD:
Energy substitution is cool. If your players are metagaming make your feinds sound resistant and vulnerable to small plush toys.