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besides the fact that larger rotors = better heat dissipation (if both are the same type, ie. vented, solid etc.) and all the frictional/physics stuff like that, a larger rotor will give you more leverage on the hub to slow the wheel down.
think like a lever, the further from the pivot the easier it is to lift/move a load. now apply this to the wheel. the pivot is the hub with the tread on the tire being the "handle" of the lever. it puts tremendous stress on any brakes, but with a larger rotor, that force is reduced allowing it to stop easier.
now of course this only applies to situations that maintain identical pad contact areas. the best part of bigger rotors is you can use bigger pads, increasing contact area and greatly improving braking
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