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Renormalization group, operator product expansion and anomalous scaling in models of passive turbulent advection. / Adzhemyan, L. Ts; Antonov, N. V.; Vasil'ev, A. N.

In: Acta Physica Slovaca, Vol. 52, No. 6, 12.2002, p. 541-546.

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@article{8eb98db18b4f4f28b1f6b977a0153abc,
title = "Renormalization group, operator product expansion and anomalous scaling in models of passive turbulent advection",
abstract = "The field theoretic renormalization group is applied to Kraichnan's model of a passive scalar quantity advected by the Gaussian velocity field with the pair correlation function ∝ δ(t - t′)/κd+ε. Inertial-range anomalous scaling for the structure functions and various pair correlators is established as a consequence of the existence in the corresponding operator product expansions of {"}dangerous{"} composite operators (powers of the local dissipation rate), whose negative critical dimensions determine anomalous exponents. The latter are calculated to order ε3 of the ε expansion (three-loop approximation).",
author = "Adzhemyan, {L. Ts} and Antonov, {N. V.} and Vasil'ev, {A. N.}",
year = "2002",
month = dec,
language = "English",
volume = "52",
pages = "541--546",
journal = "Acta Physica Slovaca",
issn = "0323-0465",
publisher = "Slovak Academic Press Ltd",
number = "6",

}

RIS

TY - JOUR

T1 - Renormalization group, operator product expansion and anomalous scaling in models of passive turbulent advection

AU - Adzhemyan, L. Ts

AU - Antonov, N. V.

AU - Vasil'ev, A. N.

PY - 2002/12

Y1 - 2002/12

N2 - The field theoretic renormalization group is applied to Kraichnan's model of a passive scalar quantity advected by the Gaussian velocity field with the pair correlation function ∝ δ(t - t′)/κd+ε. Inertial-range anomalous scaling for the structure functions and various pair correlators is established as a consequence of the existence in the corresponding operator product expansions of "dangerous" composite operators (powers of the local dissipation rate), whose negative critical dimensions determine anomalous exponents. The latter are calculated to order ε3 of the ε expansion (three-loop approximation).

AB - The field theoretic renormalization group is applied to Kraichnan's model of a passive scalar quantity advected by the Gaussian velocity field with the pair correlation function ∝ δ(t - t′)/κd+ε. Inertial-range anomalous scaling for the structure functions and various pair correlators is established as a consequence of the existence in the corresponding operator product expansions of "dangerous" composite operators (powers of the local dissipation rate), whose negative critical dimensions determine anomalous exponents. The latter are calculated to order ε3 of the ε expansion (three-loop approximation).

UR - http://www.scopus.com/inward/record.url?scp=0036966836&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036966836

VL - 52

SP - 541

EP - 546

JO - Acta Physica Slovaca

JF - Acta Physica Slovaca

SN - 0323-0465

IS - 6

ER -

ID: 86531938