People do tend to assume that one GTX 680 is enough, which is true. But they also tend to ignore the fact that pairing a 680 with the right dedicated PhysX card can improve your framerates by roughly 25%.
The key for a good dedicated PhysX card is the number of CUDA cores. With the latest generation of 600 series cards, the CUDA cores have increased dramatically. A lower level GT 640/650 packs 384 CUDA cores, is inexpensive, uses very little power, and produces relatively little heat. I would start with the GT 650 as a minimum target and then consider a 650 Ti if you can afford one, or a GT 640 if the 650 is too expensive.
Oh, and I know this is hard for some to believe, but according to TechPowerUp in their latest review, using the latest drivers, the GTX 680 and 7970 GHz perform exactly the same in their suite of 19 benchmarks:
http://tpucdn.com/reviews/ASUS/ARES_II/images/perfrel_1920.gif