20 citations · 97 across the 15 of their papers we have counts for
15 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…
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…
Long-term properties of finite-correlation time isotropic stochastic systems
A. S. Il'yn, A. V. Kopyev, V. A. Sirota +1
We consider finite-dimensional systems of linear stochastic differential equations , …
Magnetic energy spectrum produced by turbulent dynamo: effect of time irreversibility
A. V. Kopyev, A. S. Il'yn, V. A. Sirota +1
We consider the kinematic stage of evolution of magnetic field advected by turbulent hydrodynamic flow. We use a generalization of the Kazantsev-Kraichnan model to investigate time…
Non-Gaussian generalization of the Kazantsev-Kraichnan model
A. V. Kopyev, A. M. Kiselev, A. S. Il'yn +2
We consider a natural generalization of the Kazantsev-Kraichnan model for small-scale turbulent dynamo. This generalization takes account of statistical time asymmetry of a turbule…
Evolution of localized magnetic field perturbations and the nature of turbulent dynamo
A. S. Il'yn, A. V. Kopyev, V. A. Sirota +1
Kinematic dynamo in incompressible isotropic turbulent flows with high magnetic Prandtl number is considered. The approach interpreting an arbitrary magnetic field distribution as…
Stationary solution for quasi-homogeneous small-scale magnetic field advected by non-Gaussian turbulent flow
A. S. Il'yn, A. V. Kopyev, V. A. Sirota +1
We consider fluctuations of magnetic field excited by external force and advected by isotropic turbulent flow. It appears that non-Gaussian velocity gradient statistics and finite…
No feedback is possible in small-scale turbulent magnetic field
K. P. Zybin, A. S. Il'yn, A. V. Kopyev +1
Evolution of stochastically homogeneous magnetic field advected by incompressible turbulent flow with large magnetic Prandtl numbers is considered at the scales less than Kolmogoro…
Infinite Products of Random Isotropically Distributed Matrices
A. S. Il'yn, V. A. Sirota, K. P. Zybin
Statistical properties of infinite products of random isotropically distributed matrices are investigated. Both for continuous processes with finite correlation time and discrete s…
Statistical Properties of the T-exponential of Isotropically Distributed Random Matrices
Anton S. Il'yn, Valeria A. Sirota, Kirill P. Zybin
A functional method for calculating averages of the time-ordered exponential of a continuous isotropic random matrix process is presented. The process is not assumed to…