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Adzhemyan LT, Antonov NV, Barinov VA, et al. Anomalous exponents to order epsilon 3 in the rapid-change model of passive scalar advection. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;63(2):025303doi: 10.1103/PhysRevE.63.025303.
Adzhemyan, L. T., Antonov, N. V., Barinov, V. A., Kabrits, Y. S., & Vasil'ev, A. N. (2001). Anomalous exponents to order epsilon 3 in the rapid-change model of passive scalar advection. Physical review. E, Statistical, nonlinear, and soft matter physics, 63(2), 025303. https://doi.org/10.1103/PhysRevE.63.025303
Adzhemyan, L T, et al. "Anomalous exponents to order epsilon 3 in the rapid-change model of passive scalar advection." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 63,2 (2001): 025303. doi: https://doi.org/10.1103/PhysRevE.63.025303
Adzhemyan LT, Antonov NV, Barinov VA, Kabrits YS, Vasil'ev AN. Anomalous exponents to order epsilon 3 in the rapid-change model of passive scalar advection. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2):025303. doi: 10.1103/PhysRevE.63.025303. Epub 2001 Jan 22. PMID: 11308533.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2):025303. doi: 10.1103/PhysRevE.63.025303. Epub 2001 Jan 22.

Anomalous exponents to order epsilon 3 in the rapid-change model of passive scalar advection.

Physical review. E, Statistical, nonlinear, and soft matter physics

L T Adzhemyan, N V Antonov, V A Barinov, Y S Kabrits, A N Vasil'ev

Affiliations

  1. Department of Theoretical Physics, St. Petersburg University, Uljanovskaja 1, St. Petersburg-Petrodvorez, 198904, Russia.

PMID: 11308533 DOI: 10.1103/PhysRevE.63.025303

Abstract

Field-theoretic renormalization group is applied to the Kraichnan model of a passive scalar advected by the Gaussian velocity field with the covariance -~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.

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