49 citations · 236 across the 22 of their papers we have counts for
22 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…
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…
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…
Material surfaces in stochastic flows: integrals of motion and intermittency
A. S. Il'yn, A. V. Kopyev, V. A. Sirota +1
We consider the line, surface and volume elements of fluid in stationary isotropic incompressible stochastic flow in -dimensional space and investigate the long-time evolution o…