Journal of Experimental and Theoretical Physics, Dec 1, 1990
A developed wave turbulence is considered in which the wave excitation and attenuation regions ar... more A developed wave turbulence is considered in which the wave excitation and attenuation regions are separated by an extended inertial interval. Conditions that must be satisfied by a dissipation function for a nonequilibrium steady-state distribution to exist are determined. The effect of dissipation on the structure of the stationary turbulence spectrum is discussed for both the inertial interval (where this effect is small) and the region of strong dissipation. The general theory developed here is tested by means of numerical experiments for three physical systems: capillary waves in deep water, gravitational-capillary waves in shallow water, and three-dimensional sound with positive dispersion.
In hydrodynamics, vortex generation upon the transition from smooth laminar flows to turbulence i... more In hydrodynamics, vortex generation upon the transition from smooth laminar flows to turbulence is generally accompanied by increased dissipation. However, vortices in the plane can provide transport barriers and decrease losses, as it happens in numerous geophysical, astrophysical flows and in tokamaks. Photon interactions with matter can affect light transport in ways resembling fluid dynamics. Here, we demonstrate significant impact of light vortex formation in micro-structured optical fibres on the energy dissipation. We show possibility of vortex formation in both solid core and hollow core fibres on the zero energy flow lines in the cladding. Through intensive numerical modelling using different independent approaches, we discovered a correlation between appearance of vortices and reduction of light leakage by three orders of magnitude, effectively improving wave guiding. This new effect potentially might have strong impact on numerous practical applications of micro-structure...
Journal of Physics A: Mathematical and Theoretical, 2015
We discuss general features of the operator product expansion and use it to infer multi-point man... more We discuss general features of the operator product expansion and use it to infer multi-point manifestations of the energy cascade in turbulence. We calculate explicitly the possible form of the three-point velocity correlation function when one distance is smaller than two others. We elucidate manifestation of direct and inverse energy cascades in the three-point velocity correlation function.
Journal of Experimental and Theoretical Physics, Dec 1, 1990
A developed wave turbulence is considered in which the wave excitation and attenuation regions ar... more A developed wave turbulence is considered in which the wave excitation and attenuation regions are separated by an extended inertial interval. Conditions that must be satisfied by a dissipation function for a nonequilibrium steady-state distribution to exist are determined. The effect of dissipation on the structure of the stationary turbulence spectrum is discussed for both the inertial interval (where this effect is small) and the region of strong dissipation. The general theory developed here is tested by means of numerical experiments for three physical systems: capillary waves in deep water, gravitational-capillary waves in shallow water, and three-dimensional sound with positive dispersion.
In hydrodynamics, vortex generation upon the transition from smooth laminar flows to turbulence i... more In hydrodynamics, vortex generation upon the transition from smooth laminar flows to turbulence is generally accompanied by increased dissipation. However, vortices in the plane can provide transport barriers and decrease losses, as it happens in numerous geophysical, astrophysical flows and in tokamaks. Photon interactions with matter can affect light transport in ways resembling fluid dynamics. Here, we demonstrate significant impact of light vortex formation in micro-structured optical fibres on the energy dissipation. We show possibility of vortex formation in both solid core and hollow core fibres on the zero energy flow lines in the cladding. Through intensive numerical modelling using different independent approaches, we discovered a correlation between appearance of vortices and reduction of light leakage by three orders of magnitude, effectively improving wave guiding. This new effect potentially might have strong impact on numerous practical applications of micro-structure...
Journal of Physics A: Mathematical and Theoretical, 2015
We discuss general features of the operator product expansion and use it to infer multi-point man... more We discuss general features of the operator product expansion and use it to infer multi-point manifestations of the energy cascade in turbulence. We calculate explicitly the possible form of the three-point velocity correlation function when one distance is smaller than two others. We elucidate manifestation of direct and inverse energy cascades in the three-point velocity correlation function.
Uploads
Papers