Video demo here. Welcome !

A general setup, which offers mesh conforming particle movement to any mesh. The noise distributed point based Geometry Nodes "particle system" is constrained to a custom mesh with audio value driven rotation. 

The setup with additional curl noise-controlled movement away from the surfaces is available under the name "Surface Flames".

NOTE 1

(Since it is a concept demonstration, it is kept as simple as possible.) The GeoNodes trees are kept clean, the nodes are not contracted into nodegroups for easier readability and have detailed explanations.)

NOTE 2

(This setup comes in two versions. One working in "normal" Blender (currently 3.5), and an other with Simulation Nodes. The first version buffers the state every frame in an other GeoNodes object and calls it as input. In this version the GeoNodes object cannot be rendered in Cycles, only in Eevee. Use the second version, if you need cycles or you are interested in Simulation Nodes. That setup must be opened in the experimental SimNodes branch. Link to it included. )