RC helicopters typically feature electronically assisted stabilization. At least for the tail rotor. Most RC helis have symmetrical airfoils and no twist in the rotor blades.
A helicopter like the R22 doesn't have that any assistance for example and you need to use the tail a lot more. Also RC helis are way more powerful compared to their takeoff mass as well. That and aerodynamics are a little bit different at greater Reynolds numbers (more particles and less honey like viscosity compared to the size of the blade) and fully sized helicopters have transonic effects on the rotor blade that advances into the wind (part of the air is going super sonic in fast forward flight). It's this high impact velocity on one side of the helicopter's rotor which causes a lot of drag and increases the power demand and the other side of the rotor has to fight great angles of attack and even reversed flow direction in the inner part as well as stall effects. RC helis don't have that much of a problem with their higher rotation speeds or at least I think it is, have not actually run the numbers yet.
And when you fly down low the rotorwash physics could be expanded, also when you are descending though your own downwash that should be simulated better as well I think. Don't know how far the RC physics are simulating this.
If we want to create a realistic implementation of helicopter physics for full scale machines we're eventually will have to implement the transonic effects as well as more advanced ground interactions, maybe some turbulence when cutting through the own tip vortexes or when transitioning from hover to forward flight. At some point you're leaving the air mass around you that swirls around because you pushed it downwards before and you get into fresh air that is much smother, thrust increases, etc. I don't think the RC physics model that yet, there the effect might not be noticeable since your headspeed is much higher and your pitch is much smaller and air-ground-friction is greater compared to the size of the helicopter...
So yeah there are numerous differences, mostly we want to get the helicopter physics as realistic as possible for a fully sized helicopter.