# Phase Space Flow

Phase space flow shares characteristics with fluid flow such as incompressibility by Liouville's theorem. Extending the similarities one might be curious, does phase space flow have a characteristic number like the Reynold's number? Moreover, can phase space flow exhibit the characteristics of turbulence?

If so, can someone suggest papers or text concerning the aforementioned questions.

• Is the phase space in question refers to phase space of kinetic theory equations such as Boltzmann eq., or Vlasov eq.? If so, would phase space description of, say, plasma turbulence be an answer? Or are you talking about phase space of Hamiltonian mechanics? – user23660 Dec 3 '13 at 3:59
• I had phase space of Hamiltonian mechanics in mind, when I wrote the question. However, it would be interesting to hear about both. – sunspots Dec 3 '13 at 4:05