Research output: Contribution to conference › Paper › peer-review
Passive advection of a vector field: Effects of strong compressibility. / Antonov, Nikolay V.; Gulitskiy, Nikolay M.; Kostenko, Maria M.; Lučivjansky, Tomaš.
2017. 79-96 Paper presented at 10th International Conference on Chaotic Modeling and Simulation, CHAOS 2017, Barcelona, Spain.Research output: Contribution to conference › Paper › peer-review
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TY - CONF
T1 - Passive advection of a vector field: Effects of strong compressibility
AU - Antonov, Nikolay V.
AU - Gulitskiy, Nikolay M.
AU - Kostenko, Maria M.
AU - Lučivjansky, Tomaš
PY - 2017/1/1
Y1 - 2017/1/1
N2 - The field theoretic renormalization group and the operator product expansion are applied to the stochastic model of a passively advected vector field. The advecting velocity field is generated by the stochastic Navier-Stokes equation with compressibility taken into account. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ϵ = 4 - d, where y describes scaling behaviour of the random force that enters a stochastic equation for the velocity field. We show that the correlation functions of the passive vector field in the inertial range exhibit anomalous scaling behaviour. The critical dimensions of tensor composite operators of passive vector field are calculated in the leading order of y, ϵ expansion.
AB - The field theoretic renormalization group and the operator product expansion are applied to the stochastic model of a passively advected vector field. The advecting velocity field is generated by the stochastic Navier-Stokes equation with compressibility taken into account. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ϵ = 4 - d, where y describes scaling behaviour of the random force that enters a stochastic equation for the velocity field. We show that the correlation functions of the passive vector field in the inertial range exhibit anomalous scaling behaviour. The critical dimensions of tensor composite operators of passive vector field are calculated in the leading order of y, ϵ expansion.
KW - Anomalous scaling
KW - Field-theoretic renormalization group
KW - Fully developed turbulence
KW - Magnetohydrodynamics
UR - http://www.scopus.com/inward/record.url?scp=85072579215&partnerID=8YFLogxK
M3 - Paper
SP - 79
EP - 96
T2 - 10th International Conference on Chaotic Modeling and Simulation, CHAOS 2017
Y2 - 30 May 2017 through 2 June 2017
ER -
ID: 51078606