Fully procedural (made only with geometry nodes) particle attraction simulation using a Verlet Solver.

Append the object to your scene and choose object collection to be instanced on the particles, an attractor/repeler object & a collision collection. Press play and enjoy the magic.

This is a geometry nodes simulation and may require baking before rendering.

Just animate the attractor moving through the domain (check domain settings in the modifier) and the particles will be attracted to the object without intersecting with each other. Many other settings are available for further in-depth customization.

Many other physics-based sims to come. If you are interested in tutorials for such things comment on this asset ^^.

For some reason the instance, collider and attractor will appear in a _hidden collection so you must unhide it and drag them to their respective collections for the sim to work then uncheck the Instances collection for it to not appear in the final render.