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Normal and anomalous scaling of the fourth-order correlation function of a randomly advected passive scalar

Normal and anomalous scaling of the fourth-order correlation function of a randomly advected passive scalar

For a \ensuremath{\delta}-function-correlated velocity field, simultaneous correlation functions of a passive scalar satisfy closed equations. We analyze the equation for the four-point function. To describe a solution completely, one has to solve the matching problems at the scale of the source and at the diffusion scale. We solve both the …