30 citations · 228 across the 27 of their papers we have counts for
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Small-scale turbulent dynamo for low-Prandtl number fluid: comparison of the theory with results of numerical simulations
A. V. Kopyev, A. S. Il'yn, V. A. Sirota +1
Context: During the last decades, significant progress has been made in both numerical simulations of turbulent dynamo and theoretical understanding of turbulence. However, there i…
Virtual states and exponential decay in small-scale dynamo
A. V. Kopyev, V. A. Sirota, A. S. Il'yn +1
We develop the Kazantsev theory of small-scale dynamo generation at small Prandtl numbers near the generation threshold and restore the concordance between the theory and numerical…
Stochastic identities for random isotropic fields
A. S. Il'yn, A. V. Kopyev, V. A. Sirota +1
This letter presents new nontrivial stochastic identities for random isotropic second rank tensor fields. They can be considered as markers of statistical isotropy in turbulent flo…
Comment on the paper 'Saturation and Multifractality of Lagrangian and Eulerian Scaling Exponents in Three-Dimensional Turbulence'
V. A. Sirota, K. P. Zybin
We comment on the paper 'Saturation and Multifractality of Lagrangian and Eulerian Scaling Exponents in Three-Dimensional Turbulence' by D. Buaria and K.R. Sreenivasan. We point ou…
Lagrangian stochastic integrals of motion in isotropic random flows
V. A. Sirota, A. S. Il'yn, A. V. Kopyev +1
A set of exact integrals of motion is found for systems driven by homogenous isotropic stochastic flow. The integrals of motion describe the evolution of (hyper-)surfaces of differ…
Suppression of small-scale dynamo in time irreversible turbulence
A. V. Kopyev, A. S. Il'yn, V. A. Sirota +1
The conventional theory of small-scale magnetic field generation in a turbulent flow considers time-reversible random flows. However, real turbulent flows are known to be time irre…