title: Anomalous exponents to order epsilon 3 in the rapid-change model of passive scalar advection.
abstract: Field-theoretic renormalization group is applied to the Kraichnan model of a passive scalar advected by the Gaussian velocity field with the covariance <v(t,x)v(t('),x)>-<v(t,x)v(t('),x('))>~delta(t-t('))|x-x(')|(epsilon). Inertial-range anomalous exponents, related to the scaling dimensions of tensor composite operators built of the scalar gradients, are calculated to the order epsilon(3) of the epsilon expansion. The nature and the convergence of the epsilon expansion in the models of turbulence are briefly discussed.
authors: Department of Theoretical Physics, St. Petersburg University, Uljanovskaja 1, St. Petersburg-Petrodvorez, 198904, Russia.
authors: L T
authors: LT
authors: Adzhemyan
authors: N V
authors: NV
authors: Antonov
authors: V A
authors: VA
authors: Barinov
authors: Y S
authors: YS
authors: Kabrits
authors: A N
authors: AN
authors: Vasil'ev