Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time
The turbulent passive advection under the environment (velocity) field with finite correlation time is studied. Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is investigated by means of the field theoretic renormal...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2016-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/201610802008 |
| _version_ | 1819151339521835008 |
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| author | Antonov N. V. Gulitskiy N. M. |
| author_facet | Antonov N. V. Gulitskiy N. M. |
| author_sort | Antonov N. V. |
| collection | DOAJ |
| description | The turbulent passive advection under the environment (velocity) field with finite correlation time is studied. Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is investigated by means of the field theoretic renormalization group and the operator product expansion. The advecting velocity field is Gaussian, with finite correlation time and prescribed pair correlation function. The inertial-range behavior of the model is described by two regimes (the limits of vanishing or infinite correlation time) that correspond to nontrivial fixed points of the RG equations and depend on the relation between the exponents in the energy energy spectrum
ε ∝ k⊥1-ξ
and the dispersion law
ω ∝ k⊥2-η
. The corresponding anomalous exponents are associated with the critical dimensions of tensor composite operators built solely of the passive vector field itself. In contrast to the well-known isotropic Kraichnan model, where various correlation functions exhibit anomalous scaling behavior with infinite sets of anomalous exponents, here the dependence on the integral turbulence scale L has a logarithmic behavior: instead of power-like corrections to ordinary scaling, determined by naive (canonical) dimensions, the anomalies manifest themselves as polynomials of logarithms of L. Due to the presence of the anisotropy in the model, all multiloop diagrams are equal to zero, thus this result is exact. |
| first_indexed | 2024-12-22T14:31:50Z |
| format | Article |
| id | doaj.art-ff1afeeb50a2410f8765b4eabb1fe9c0 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-22T14:31:50Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-ff1afeeb50a2410f8765b4eabb1fe9c02022-12-21T18:22:44ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011080200810.1051/epjconf/201610802008epjconf_mmcp2016_02008Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation TimeAntonov N. V.0Gulitskiy N. M.1Chair of High Energy Physics and Elementary Particles, Department of Theoretical Physics, Faculty of Physics, Saint Petersburg State UniversityChair of High Energy Physics and Elementary Particles, Department of Theoretical Physics, Faculty of Physics, Saint Petersburg State UniversityThe turbulent passive advection under the environment (velocity) field with finite correlation time is studied. Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is investigated by means of the field theoretic renormalization group and the operator product expansion. The advecting velocity field is Gaussian, with finite correlation time and prescribed pair correlation function. The inertial-range behavior of the model is described by two regimes (the limits of vanishing or infinite correlation time) that correspond to nontrivial fixed points of the RG equations and depend on the relation between the exponents in the energy energy spectrum ε ∝ k⊥1-ξ and the dispersion law ω ∝ k⊥2-η . The corresponding anomalous exponents are associated with the critical dimensions of tensor composite operators built solely of the passive vector field itself. In contrast to the well-known isotropic Kraichnan model, where various correlation functions exhibit anomalous scaling behavior with infinite sets of anomalous exponents, here the dependence on the integral turbulence scale L has a logarithmic behavior: instead of power-like corrections to ordinary scaling, determined by naive (canonical) dimensions, the anomalies manifest themselves as polynomials of logarithms of L. Due to the presence of the anisotropy in the model, all multiloop diagrams are equal to zero, thus this result is exact.http://dx.doi.org/10.1051/epjconf/201610802008 |
| spellingShingle | Antonov N. V. Gulitskiy N. M. Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time EPJ Web of Conferences |
| title | Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time |
| title_full | Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time |
| title_fullStr | Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time |
| title_full_unstemmed | Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time |
| title_short | Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time |
| title_sort | anisotropic turbulent advection of a passive vector field effects of the finite correlation time |
| url | http://dx.doi.org/10.1051/epjconf/201610802008 |
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