Field theoretic calculation of scalar turbulence

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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RevTex4, publ. in Int. J. Mod. Phy. B, v.15, p.3419, 2001

Scientific paper

10.1142/S0217979201007270

The cascade rate of passive scalar and Bachelor's constant in scalar
turbulence are calculated using the flux formula. This calculation is done to
first order in perturbation series. Batchelor's constant in three dimension is
found to be approximately 1.25. In higher dimension, the constant increases as
$d^{1/3}$.

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