Early versions of Unreal Engine had these animated procedural textures that would produce sparks, fire effects, etc. The odd part is that when you paused the game, the animated textures would still animate. Presumably, the game would pause its physics engine or set the timestep to 0, but the texture updater didn't pause. I suspect it was part of the core render loop and each new iteration of the texture was some sort of filtered version of the previous frame's texture. Arguably a very early version of GPU physics.

Modern games can have the same issue. Even taking a capture of the exact graphics commands and repeating them, you'll sometimes see animated physics effects like smoke and raindrops. They're doing the work on the GPU where it's not necessarily tied to any traditional physics timestep.