Measurement of the Proton Structure Function F 2 at Low Q 2 and Very Low x with the ZEUS Beam Pipe Calorimeter at HERA

Three different kinds of scaling are observed in a toy model of turbulence (“GOY”). The first has a multifractal spectrum of exponents. The second is a simple static selfsimilarity solution. The third phase is dynamic but has simple scaling. This last previously unreported equipartition behavior is discussed. It is drastically different from the other two in terms of its scaling exponent(s) and emerges when the energy flux on the boundaries vanishes (no dissipation and no forcing).