Standard

Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order [formula presented]. / Adzhemyan, L. Ts; Antonov, N. V.; Barinov, V. A.; Kabrits, Yu S.; Vasil’ev, A. N.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 64, No. 5, 2001, p. 28.

Research output: Contribution to journal › Article › peer-review

Harvard

Adzhemyan, LT, Antonov, NV, Barinov, VA, Kabrits, YS & Vasil’ev, AN 2001, 'Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order [formula presented]', Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 64, no. 5, pp. 28. https://doi.org/10.1103/PhysRevE.64.056306

APA

Adzhemyan, L. T., Antonov, N. V., Barinov, V. A., Kabrits, Y. S., & Vasil’ev, A. N. (2001). Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order [formula presented]. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 64(5), 28. https://doi.org/10.1103/PhysRevE.64.056306

Vancouver

Adzhemyan LT, Antonov NV, Barinov VA, Kabrits YS, Vasil’ev AN. Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order [formula presented]. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 2001;64(5):28. https://doi.org/10.1103/PhysRevE.64.056306

Author

Adzhemyan, L. Ts ; Antonov, N. V. ; Barinov, V. A. ; Kabrits, Yu S. ; Vasil’ev, A. N. / Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order [formula presented]. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 2001 ; Vol. 64, No. 5. pp. 28.

BibTeX

@article{5bad9620e6254b3483237312bf66c56f,
title = "Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order [formula presented]",
abstract = "The field theoretic renormalization group and operator product expansion are applied to the model of a passive scalar advected by the Gaussian velocity field with zero mean and correlation function [formula presented] Inertial-range anomalous exponents, identified with the critical dimensions of various scalar and tensor composite operators constructed of the scalar gradients, are calculated within the [formula presented] expansion to order [formula presented] (three-loop approximation), including the exponents in anisotropic sectors. The main goal of the paper is to give the complete derivation of this third-order result, and to present and explain in detail the corresponding calculational techniques. The character and convergence properties of the [formula presented] expansion are discussed, the improved “inverse” [formula presented] expansion is proposed, and the comparison with the existing nonperturbative results is given.",
author = "Adzhemyan, {L. Ts} and Antonov, {N. V.} and Barinov, {V. A.} and Kabrits, {Yu S.} and Vasil{\textquoteright}ev, {A. N.}",
year = "2001",
doi = "10.1103/PhysRevE.64.056306",
language = "English",
volume = "64",
pages = "28",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order [formula presented]

AU - Adzhemyan, L. Ts

AU - Antonov, N. V.

AU - Barinov, V. A.

AU - Kabrits, Yu S.

AU - Vasil’ev, A. N.

PY - 2001

Y1 - 2001

N2 - The field theoretic renormalization group and operator product expansion are applied to the model of a passive scalar advected by the Gaussian velocity field with zero mean and correlation function [formula presented] Inertial-range anomalous exponents, identified with the critical dimensions of various scalar and tensor composite operators constructed of the scalar gradients, are calculated within the [formula presented] expansion to order [formula presented] (three-loop approximation), including the exponents in anisotropic sectors. The main goal of the paper is to give the complete derivation of this third-order result, and to present and explain in detail the corresponding calculational techniques. The character and convergence properties of the [formula presented] expansion are discussed, the improved “inverse” [formula presented] expansion is proposed, and the comparison with the existing nonperturbative results is given.

AB - The field theoretic renormalization group and operator product expansion are applied to the model of a passive scalar advected by the Gaussian velocity field with zero mean and correlation function [formula presented] Inertial-range anomalous exponents, identified with the critical dimensions of various scalar and tensor composite operators constructed of the scalar gradients, are calculated within the [formula presented] expansion to order [formula presented] (three-loop approximation), including the exponents in anisotropic sectors. The main goal of the paper is to give the complete derivation of this third-order result, and to present and explain in detail the corresponding calculational techniques. The character and convergence properties of the [formula presented] expansion are discussed, the improved “inverse” [formula presented] expansion is proposed, and the comparison with the existing nonperturbative results is given.

UR - http://www.scopus.com/inward/record.url?scp=84870312170&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.64.056306

DO - 10.1103/PhysRevE.64.056306

M3 - Article

AN - SCOPUS:84870312170

VL - 64

SP - 28

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 5

ER -

ID: 86532238