Multiscaling and Structure Functions in Turbulence: An Alternative Approach

Physics – Condensed Matter

Scientific paper

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4 pages, REVTex, 4 figures

Scientific paper

10.1103/PhysRevLett.83.76

We propose an alternative formulation of structure functions for the velocity field in fully developed turbulence. Instead of averaging moments of the velocity differences as a function of the distance, we suggest to average moments of the distances as a function of the velocity difference. This is like an ``inverted'' structure function, with a different statistics. On the basis of shell model calculations we obtain a new multiscaling spectrum.

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