240 citations · 705 across the 19 of their papers we have counts for
19 papers
Dynamical chaos in nonlinear Schrödinger models with subquadratic power nonlinearity
Alexander V. Milovanov, Alexander Iomin
We devise an analytical method to deal with a class of nonlinear Schrödinger lattices with random potential and subquadratic power nonlinearity. An iteration algorithm is proposed…
A self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity
Alexander V. Milovanov, Jens Juul Rasmussen, Guilhem Dif-Pradalier
A new basis has been found for the theory of self-organization of transport avalanches and jet zonal flows in L-mode tokamak plasma, the so-called "plasma staircase." The jet zonal…
Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with algebraic power nonlinearity
Alexander V. Milovanov, Alexander Iomin
We report a new result concerning the dynamics of an initially localized wave packet in quantum nonlinear Schrödinger lattices with a disordered potential. A class of nonlinear lat…
Lévy flights on a comb and the plasma staircase
Alexander V. Milovanov, Jens Juul Rasmussen
We formulate the problem of confined Lévy flight on a comb. The comb represents a sawtooth-like potential field , with the asymmetric teeth favoring net transport in a prefer…
Destruction of Anderson localization in quantum nonlinear Schrödinger lattices
Alexander V. Milovanov, Alexander Iomin
The four-wave interaction in quantum nonlinear Schrödinger lattices with disorder is shown to destroy the Anderson localization of waves, giving rise to unlimited spreading of the…
Mixed diffusive-convective relaxation of a broad beam of energetic particles in cold plasma
Nakia Carlevaro, Alexander V. Milovanov, Matteo V. Falessi +3
We revisit the applications of quasi-linear theory as a paradigmatic model for weak plasma turbulence and the associated bump-on-tail problem. The work, presented here, is built ar…