The general concept of how Solvent welding works on Plexiglass in general is really kind of simple, even though I am no expert in the matter, I feel that I have a firm enough grasp on a concept of how it work. It has no fancy numbers or anything, but I feel that it adequately explains how the solvent welding works.
Pre solvent welding note: Check, with water, that the solvent will cover all of the connection point. So there are no areas, when you apply water just like you would solvent, that do not pull any water/solvent into them. A side that does not properly pull solvent into it will not form a good connection, or a seal. To correct this, lap the side that is not sucking up solvent.
How solvent welding works is as so. The solvent does exactly what all solvents do; it loosens the bonds between the molecules in the plastic. However, in the case of solvent welding it is put to a more “constructive” use then just breaking things down. When you fit the pieces together before applying the solvents you are preparing a place for the molecules to go when they are loosened. When you apply the solvent, it covers both the pieces of Plexiglass, causing molecules in both the pieces of Plexiglass to loosen. Because the solvents used are really quite strong, the molecules loosen and move enough that they soon become so intermingled that they are now, literally, a single piece of Plexiglass. During this time the solvent is slowly evaporating into the surrounding air(note: IT ATTACHES TO HAND OILS!!!) and leaves behind it hardened the now rebound molecules that the Plexiglass is made of. Just a little information for those who are wondering how it works.
About my note: the solvent evaporates just like superglue does, it attaches to anything it can. So if you leave fingerprints before you weld the Plexiglass they will be there forever, unless you buff them out of the Plexiglass which is a pain.