How to make this distort Shader work with particle system in unity

If I understand the question correctly, you need a material controller in the particle system. Create a uv and connect to the parameter you want to change, then turn on custom vertex streams and add uv2 and custom2.xyzw, then turn on custom data and change the parameter, sorry for the english and picture quality. View this Unity - Custom Vertex Stream and Shadergraph/Amplify Shader