Like others have said, it's probably not your CPU, much more likely it's your GPU.
I have an i5, gtx 580, 8gb ram, 2560x1920 resolution with everything set to max only experienced any choppiness when going by the pvp terminal on the fleet. I admit I haven't checked my fps, but like I said, I haven't noticed it so no reason to check.
Btw, full HD just means 1920x1080 resolution.