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