6 papers
Interaction renormalization and the plasma staircase
Alexander V. Milovanov, Alexander Iomin, Jens Juul Rasmussen
We resolve an existing question concerning dynamical and structural stability of the E {\times} B staircases in magnetically confined fusion plasma. The problem has stirred conside…
Turbulence spreading and anomalous diffusion on combs
Alexander V. Milovanov, Alexander Iomin, Jens Juul Rasmussen
This paper presents a simple model for such processes as chaos spreading or turbulence spillover into stable regions. In this simple model the essential transport occurs via inelas…
Screening and localization in the nonlinear Anderson problem
Alexander V. Milovanov, Alexander Iomin
We study the spreading dynamics of an initially localized wave packet in 1D nonlinear Schrödinger lattices with random potential. It is shown that adding small dielectric coupling…
Turbulence spreading by the resonant wave-wave interactions: A fractional kinetics approach
Alexander V. Milovanov, Jens Juul Rasmussen
This paper is concerned with the processes of spatial propagation and penetration of turbulence from the regions where it is locally excited into initially laminar regions. The phe…
Topology of delocalization in the nonlinear Anderson model and anomalous diffusion on finite clusters
A. V. Milovanov, A. Iomin
This study is concerned with destruction of Anderson localization by a nonlinearity of the power-law type. We suggest using a nonlinear Schrödinger model with random potential on a…
Localization-delocalization transition on a separatrix system of nonlinear Schrodinger equation with disorder
A. V. Milovanov, A. Iomin
Localization-delocalization transition in a discrete Anderson nonlinear Schrödinger equation with disorder is shown to be a critical phenomenon similar to a percolation transit…