Is it possible to create vector fields based on a math equation?

I ckeck some old notes

and there was some addon to help make vector field
but have not tested it and may not work in latest blender

but check these out

https://www.reddit.com/r/blender/comments/8aqyns/vector_field/

https://forum.unity.com/threads/using-vectorfields-with-new-particlesystemforcefield-how.583873/

https://isathar.blogspot.com/p/tools.html

sorry don’t have much time right now to experiment with these

if you find a way let us know
seem interesting

happy bl