i've seen this used before and i got to wondering wether or not it's grammatically correct. I always thought "disperse" meant to scatter without order. but adding "evenly" would suggest order... right? i know i could easily google an answer but i thought i'd give some of you a chance to show off those powerful, sexy brains.
disperse in its most basic sense, simply means to break up, or spread out. As such it could be evenly or not... so yes evenly dispersed is correct.
Disperse - verb[trans.] distribute or spread over a wide area. Even - adjective 1.flat and smooth 2.in the same place or line;level 3.having little variation in quality;regular 4.equal in number, amount or value.