Abstract:
The problem of turbulent mixing of a chemically active scalar admixture is solved in the framework of the quantum-field approach. Results obtained earlier for an ordinary passive admixture are also generalized to this case. It is shown that inclusion of a matrix of correlation functions of Gaussian noise in the most general form leads to the establishment of an additional (compared with an ordinary admixture) infrared-stable asymptotic regime.
Citation:
M. Gnatich, “Quantum-field renormalization group in turbulence theory:
Chemically active scalar admixture”, TMF, 83:3 (1990), 374–383; Theoret. and Math. Phys., 83:3 (1990), 601–608
This publication is cited in the following 4 articles:
Hnatic M., Honkonen J., Lucivjansky T., “Advanced Field-Theoretical Methods in Stochastic Dynamics and Theory of Developed Turbulence”, Acta Phys. Slovaca, 66:2-3 (2016), 69–265
Volchenkov, D, “Renormalization group and instantons in stochastic nonlinear dynamics”, European Physical Journal-Special Topics, 170 (2009), 1
Antonov, NV, “The renormalization group in the problem of turbulent convection of a passive scalar impurity with nonlinear diffusion”, Journal of Experimental and Theoretical Physics, 85:5 (1997), 898
Adzhemyan L.T., Antonov N.V., Vasilev A.N., “Quantum field renormalisation group in the theory of developed turbulence”, Uspekhi Fizicheskikh Nauk, 166:12 (1996), 1257–1284
Citation in format AMSBIB
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