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Diffuse (cos(theta) or Random) Scattering of Particle Collisions

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I'm trying to get particles to bounce off a surface in a scattered fashion. Currently the collisions have the particles bouncing normally, but is there a way to have them bounce off randomly? Do I have to program this into blender through python or is there a setting I can use for this? If python is needed, is there somewhere I can go to get info on this? I've attached a picture to help clarify things a bit. The green arrows are normal collisions and the orange ones are the random scattering I'm trying to get.

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