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Publication
Physical Review Letters
Paper
Scaling relations for a randomly advected passive scalar field
Abstract
A recent ansatz for dissipation terms gave anomalous inertial-range scaling exponents (n1/2,n→) for the nth-order structure functions of a passive scalar field advected by a random velocity field. Analysis of a series expansion for the conditional mean of a dissipation term suggests that the ansatz gives the only possible anomalous scaling. Anomaly of inertial-range scaling is supported by realizability inequalities on the dissipation field. Predictions for conditional means and structure functions are compared with simulations. © 1995 The American Physical Society.