Fusion Rules in Turbulent Systems with Flux Equilibrium

Details Fusion Rules in Turbulent Systems with Flux Equilibrium Fusion Rules in Turbulent Systems with Flux Equilibrium

1995-07-27

arxiv.org/abs/chao-dyn/9507008v1

Phys. Rev. Lett. v.76 2896 (1996)

Nonlinear Sciences

Chaotic Dynamics

Submitted to PRL on July 95, 4 pages, REVTeX

Scientific paper

10.1103/PhysRevLett.76.2898

Fusion rules in turbulence specify the analytic structure of many-point correlation functions of the turbulent field when a group of coordinates coalesce. We show that the existence of flux equilibrium in fully developed turbulent systems combined with a direct cascade induces universal fusion rules. In certain examples these fusion rules suffice to compute the multiscaling exponents exactly, and in other examples they give rise to an infinite number of scaling relations that constrain enormously the structure of the allowed theory.

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