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For this animation I used an animated array modifier.

you can download the blend file here

For this animation I made a cycles material that lights random faces based on an input vector which can be animated

you can download the blend file here

For this part of my blender particle experiments I used an emission material on the particles and a brick texture on the floor

you can download the blend file here

For this part of my blender particle experiments I used a dynamic paint canvas to generate the waves. The particles "cool down" a bit while jumping around using the age input of the particle-info node

you can download the blend file here

For this part of my blender particle experiments I used the size parameter of the particle info node to influence the material of the particles

you can download the blend file here

for this part of my blender particle experiments I used the particle age to influence the material and the color of the particles

you can download the blend file here

for this part of my blender particle experiments I used a meta-sphere as object for a fluid particle system.

I had some trouble rendering the sketch with cycles, because I got random blobs of metaballs every 5th to 10nth frame, which I had to clean up manually.

Maybe its because the sketch was rendered using a RC for 2.64 - I will retry this with the final release.

you can download the blend file here

for this part of my blender particle experiments I used a walking stickfigure as a particle instance object. The stickfigure was generated using the new skin-modifier from blender 2.64

you can download the blend file here

I used the new ray-length input in cycles from blender 2.64rc2 to generate a glass material that changes the color depending on the ray-length. This can be used to simulate a prism that fractures white light.

you can download the blend file here or a hi-res version of the image here

For this part of my blender particle experiments I used lots of very small light emitting particles and a force field

you can download the blend file here