Abstract
The field-theoretic renormalization group is used to derive scaling relations for the transport of passive scalars by an incompressible velocity field with a specified energy spectrum. Results are obtained with the analog of theε expansion of critical phenomena and compared to exact results which are available for shear flows in two dimensions.A 1/N expansion is proposed for the regions in which theε expansion fails.
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References
K. G. Wilson and J. Kogut,Phys. Rep. 12C:75 (1974).
D. Forster, D. Nelson, and M. Stephens,Phys. Rev. A 16:732 (1977).
C. DeDominicis and P. C. Martin,Phys. Rev. A 19:419 (1979).
M. Avellaneda and A. Majda,Commun. Math. Phys. 131:381 (1990).
E. Brezin, J. C. LeGuillou, and J. Zinn-Justin, inPhase Transitions and Critical Phenomena, Vol. VI, C. Domb and M. S. Green, eds. (Academic, New York, 1975).
J. Zinn-Justin,Quantum Field Theory and Critical Phenomena (Oxford University Press, 1989).
C. DeDominicis and L. Peliti,Phys. Rev. B 18:353 (1978).
M. Avellaneda and A. Majda,Phys. Fluids A 4:41 (1992).
V. Yakhot and S. Orszag,J. Sci. Comp. 1:3 (1986).
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Nayak, C. A renormalization group analysis of turbulent transport. J Stat Phys 71, 129–141 (1993). https://doi.org/10.1007/BF01048091
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DOI: https://doi.org/10.1007/BF01048091