Maybe a newbie question but how can we talk about “phase space volume” if the phase space is continuous and the system develops into a non-measurable set (e.g. fractal)?
A finite-sized fractal in n_space still has measurable n_volume.Its surface (n-1)_volume might be infinite, but we don’t care about that.
Does that make sense?
Maybe a newbie question but how can we talk about “phase space volume” if the phase space is continuous and the system develops into a non-measurable set (e.g. fractal)?
A finite-sized fractal in n_space still has measurable n_volume.
Its surface (n-1)_volume might be infinite, but we don’t care about that.
Does that make sense?