Anomalous exponents to order epsilon(3) in the rapid-change model of passive scalar advection - art. no. 025303

Field-theoretic renormalization group is applied to the Kraichnan model of a passive scalar advected by the Gaussian velocity field with the covarianc e [v(t,x)v(t',x)] - [v(t,x)v(t',x')] proportional to delta (t-t')\x-x'\(eps ilon). Inertial-range anomalous exponents, related to the scaling dimension s of tensor composite operators built of the scalar gradients, are calculat ed to the order epsilon (3) of the epsilon expansion. The nature and the co nvergence of the epsilon expansion in the models of turbulence are briefly discussed.