title: Passive advection of a vector field: Anisotropy, finite correlation  time, exact solution and logarithmic corrections to ordinary scaling
metadata.name: dc.contributor.author
metadata.value: N. V. Antonov
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: N. M. Gulitskiy
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-07T19:57:04Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-07T19:57:04Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-06-18
metadata.lang: -
metadata.name: dc.identifier
metadata.value: 10.1103/PhysRevE.92.043018
metadata.lang: -
metadata.name: dc.identifier.issn
metadata.value: 10.1103/PhysRevE.92.043018
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1955
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this work we study the generalization of the problem, considered in [{\it
  Phys. Rev. E} {\bf 91}, 013002 (2015)], to the case of {\it finite} correlation
  time of the environment (velocity) field. The model describes a vector (e.g.,
  magnetic) field, passively advected by a strongly anisotropic turbulent flow.
  Inertial-range asymptotic behavior is studied by means of the field theoretic
  renormalization group and the operator product expansion. The advecting
  velocity field is Gaussian, with finite correlation time and preassigned pair
  correlation function. Due to the presence of distinguished direction ${\bf n}$,
  all the multiloop diagrams in this model are vanish, so that the results
  obtained are exact. The inertial-range behavior of the model is described by
  two regimes (the limits of vanishing or infinite correlation time) that
  correspond to the two nontrivial fixed points of the RG equations. Their
  stability depends on the relation between the exponents in the energy spectrum
  ${\cal E} \propto k_{\bot}^{1-\xi}$ and the dispersion law $\omega \propto
  k_{\bot}^{2-\eta}$. In contrast to the well known isotropic Kraichnan's model,
  where various correlation functions exhibit anomalous scaling behavior with
  infinite sets of anomalous exponents, here the corrections to ordinary scaling
  are polynomials of logarithms of the integral turbulence scale $L$.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was supported by the Saint Petersburg State University
  within the research grant 11.38.185.2014. N.M.G. was also
  supported by the Dmitry Zimin’s “Dynasty” foundation and by
  the Saint Petersburg Committee of Science and High School.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: American Physical Society
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Physics - Statistical Mechanics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Nonlinear Sciences - Chaotic Dynamics
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Passive advection of a vector field: Anisotropy, finite correlation  time, exact solution and logarithmic corrections to ordinary scaling
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: PhysRevE_92_043018.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1955/1/PhysRevE_92_043018.pdf
resources.format: Adobe PDF
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