ANALOGY BETWEEN SCALE SYMMETRY AND RELATIVISTIC-MECHANICS - II - ELECTRIC ANALOG OF TURBULENCE

In turbulent structure functions, we separate a nonuniversal part, dep ending on the most frequent events, and a universal part, i.e., reduce d structure functions. We focus on the universal contribution using on ly scale symmetry arguments and an analogy with electricity developed in our companion paper. A conservation law leads to a general scaling and a method of computation of the reduced structure functions. Around the infinite-Reynolds-number limit, we propose a perturbation develop ment which is both regular and compatible with scale symmetry. This li near approximation accounts for a large variety of turbulent flows, fr om jet to boundary layer turbulence.