Fusion Rules in Turbulent Systems with Flux Equilibrium

Victor L'vov and Itamar Procaccia
Phys. Rev. Lett. 76, 2898 – Published 15 April 1996
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Abstract

Fusion rules in turbulence specify the analytic structure of many-point correlation functisons of the turbulent field when a group of coordinates coalesce. We show that the existence of universal 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.

  • Received 19 July 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.2898

©1996 American Physical Society

Authors & Affiliations

Victor L'vov and Itamar Procaccia

  • Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

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Vol. 76, Iss. 16 — 15 April 1996

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