3 papers
physics.flu-dyn2026
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…
physics.flu-dyn2026
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…
physics.flu-dyn2024
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…