Abstract
A statistical analysis is made of the diffusion of a passive scalar in homogeneous turbulence. An Eulerian Galilean-invariant theory is constructed with the convection-free response and the one-time scalar covariance chosen as fundamental physical quantities and with the aid of the Direct-Interaction formalism. The -5/3 power law for the spectrum of scalar covariance is derived in the intertial range, with the reasonable estimate of its proportional constant.
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