The rye grass will germinate, but unless you really seed it very,very heavy, it will not stop erosion. Rye grass blades are very thin and the root system is very fragile. If it were me, I'd find some old hay and spread it out over the entire area. It will not only stop erosion but will also form a good natural nutrient base for your grass in the spring. If you use bahia hay, you will also have bahia grass in the spring, although like others I prefer bermuda, expecially common bermuda. Be careful if you count on Rye grass to control erosion...you will need lots of seeds.
