Anomalous scaling in helical turbulent environment |
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Authors: | A?V?Gladyshev E?Jur?i?inová M?Jur?i?in R?Remecky |
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Institution: | 1.BLTP,Joint Institute for Nuclear Research,Dubna,Russia;2.Institute of Experimental Physics SAS,Ko?ice,Slovakia |
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Abstract: | The influence of helicity on the anomalous scaling of the single-time structure functions of a passive scalar advected by
a non-Gaussian velocity field driven by the stochastic Navier-Stokes equation is investigated by the field theoretic renormalization
group and the operator-product expansion within the second order of the perturbation theory (two-loop approximation). The
set of compositeoperators with the minimal critical dimensions is identified and their dependence on the helicity parameter
is found. It is shown that the contribution to the critical dimensions of the structure functions of a passive scalar is given
only by parts of the composite operators which are independent of the helicity parameter. Therefore, it is shown that the
spatial parity violation has no impact on the anomalous scaling behavior of the passively advected scalar quantity in the
turbulent environment. |
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Keywords: | |
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