Analogy between scale symmetry and relativistic mechanics. II. Electric analog of turbulence

In turbulent structure functions, we separate a nonuniversal part, depending on the most frequent events, and a universal part, i.e., reduced structure functions. We focus on the universal contribution using only 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 development which is both regular and compatible with scale symmetry. This linear approximation accounts for a large variety of turbulent flows, from jet to boundary layer turbulence.