Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$

@article{Antonov2017StochasticNE,
  title={Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near \$d=4\$},
  author={Nikolay V. Antonov and Nikolay M. Gulitskiy and Maria M. Kostenko and Tom'avs Luvcivjansk'y},
  journal={arXiv: Statistical Mechanics},
  year={2017}
}
The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension $d=4$. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation. 
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5 Citations

5 Citations

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