4 papers
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…
Drift towards isotropization during the 3D hydrodynamic turbulence onset
D. S. Agafontsev, A. S. Il'yn, A. V. Kopyev
The incompressible three-dimensional Euler equations develop very thin pancake-like regions of exponentially increasing vorticity. The characteristic thickness of such regions decr…
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…