Stochastic instability and turbulent transport. Characteristic scales, increments, diffusion coefficients

2015 ◽  
Vol 185 (3) ◽  
pp. 271-306 ◽  
Author(s):  
Oleg G. Bakunin
1949 ◽  
Vol 2 (4) ◽  
pp. 451 ◽  
Author(s):  
AA Townsend

Extending previous work on turbulent diffusion in the wake of a circular-cylinder, a series of measurements have been made of the turbulent transport of mean stream momentum, turbulent energy, and heat in the wake of a cylinder of 0.169 cm. diameter, placed in an air-stream of velocity 1280 cm. sec.-1. It has been possible to extend the measurements to 960 diameters down-stream from the cylinder, and it 1s found that, at distances in excess of 600 diameters, the requirements of dynamical similarity are very nearly satisfied. To account for the observed rates of transport of turbulent energy and heat, it is necessary that only part of this transport be due to bulk convection by the slow large-scale motion of the jets of turbulent fluid emitted by the central, fully turbulent core of the wake, which had been supposed previously to perform most of the transport. The remainder of the transport is carried out by the small-scale diffusive motion of the turbulent eddies within the jets, and may be described by assigning diffusion coefficients to the turbulent fluid. It is found that the diffusion coefficients for momentum and heat are approximately equal, but that for turbulent energy is considerably smaller. On the basis of these hypotheses, it is possible to calculate $he form of the mean velocity distribution in good agreement with experiment, and to give a qualitative explanation of the apparently more rapid diffusion of heat.


1996 ◽  
Vol 56 (3) ◽  
pp. 451-465 ◽  
Author(s):  
M. W. Binderbauer ◽  
N. Rostoker

From recent tokamak research, there is considerable experimental evidence that superthermal ions slow down and diffuse classically in the presence of turbulent fluctuations that cause anomalous transport of thermal ions. Further more, research on field-reversed configurations at Los Alamos is consistent with the view that kinetic effects suppress instability growth when the ratio of plasma radius to ion orbital radius is small; turbulence is enhanced and confinement degrades when this ratio increases. Motivated by these experiments, we consider a plasma consisting of large-orbit non-adiabatic ions and adiabatic electrons. For such a plasma, it is possible that the anomalous transport characteristic of tokamaks can be avoided and a compact reactor design becomes viable.


1997 ◽  
Vol 31 ◽  
pp. 217-227 ◽  
Author(s):  
Michael Zelger ◽  
Jan Schween ◽  
Jochen Reuder ◽  
Tullio Gori ◽  
Karin Simmerl ◽  
...  

2013 ◽  
Vol 6 (4) ◽  
pp. 5595-5644 ◽  
Author(s):  
P. A. Makar ◽  
R. Nissen ◽  
A. Teakles ◽  
J. Zhang ◽  
Q. Zheng ◽  
...  

Abstract. The balance between turbulent transport and emissions is a key issue in understanding the formation of O3 and PM2.5. Discrepancies between observed and simulated concentrations for these species are often ascribed to insufficient turbulent mixing, particularly for atmospherically stable environments. This assumption may be inaccurate – turbulent mixing deficiencies may explain only part of these discrepancies, while the timing of primary PM2.5 emissions may play a much more significant role than previously believed. In a study of these issues, two regional air-quality models, CMAQ and AURAMS, were compared against observations for a domain in north-western North America. The air quality models made use of the same emissions inventory, emissions processing system, meteorological driving model, and model domain, map projection and horizontal grid, eliminating these factors as potential sources of discrepancies between model predictions. The initial statistical comparison between the models against monitoring network data showed that AURAMS' O3 simulations outperformed those of CMAQ, while CMAQ outperformed AURAMS for most PM2.5 statistical measures. A process analysis of the models revealed that the choice of an a priori cut-off lower limit in the magnitude of vertical diffusion coefficients in each model could explain much of the difference between the model results for both O3 and PM2.5. The use of a larger value for the lower limit in vertical diffusivity was found to create a similar O3 and PM2.5 performance in AURAMS as was noted in CMAQ (with AURAMS showing improved PM2.5, yet degraded O3, and a similar time series as CMAQ). The differences between model results were most noticeable at night, when the use of a larger cut-off in turbulent diffusion coefficients resulted in an erroneous secondary peak in predicted night-time O3. Further investigation showed that the magnitude, timing and spatial allocation of area-source emissions could result in improvements to PM2.5 performance with minimal O3 performance degradation. The use of a relatively high cut-off in diffusion may in part compensate for erroneously high night-time PM2.5 emissions, but at the expense of increasing model error in O3. While the strength of turbulence plays a key role in O3 and PM2.5 formation, more accurate primary PM2.5 temporal emissions data may be needed to explain observed concentrations, particularly in urban regions.


Author(s):  
A. V. Eyelade ◽  
C. M. Espinoza ◽  
M. Stepanova ◽  
E. E. Antonova ◽  
I. L. Ovchinnikov ◽  
...  

The possible influence of MHD turbulence on the energy distributions of ions in the Earth's plasma sheet was studied using data taken by the THEMIS satellites. Turbulence levels were traced using eddy diffusion coefficients (D), of which we measured one for each Geocentric Solar Magnetospheric (GSM) coordinates every 12 min. Ion fluxes between 1.75 and 210.5 keV during the same time windows that correspond to mainly suprathermal populations were fitted to Kappa distribution functions, which approximate a Maxwellian distribution when the κ-index (κ) is large. We found that the distribution of the eddy diffusion coefficients is bimodal, independently of both the eddy diffusion component and the plasma beta (β) parameter, which is defined as the ratio between plasma and magnetic pressures. The main peak corresponds to turbulent plasma flows with D > 103 km2 s−1. In such cases, the impact of turbulence on the κ index depends on the value of β and also on the direction of the turbulent transport. For eddy diffusion perpendicular to the neutral sheet, the values of κ decrease as Dzz increases for β < 2; while for higher values of β, κ increases with Dzz. For the other two directions, the values of κ decrease as D increases. This last tendency is stronger for β ~ 1 but almost null for β ~ 10. The secondary peak in the distribution of D values might represent quasi-laminar flows forming part of very large vortices, correct detection and description of which is beyond the scope of this study.


Author(s):  
E.G. Bithell ◽  
W.M. Stobbs

It is well known that the microstructural consequences of the ion implantation of semiconductor heterostructures can be severe: amorphisation of the damaged region is possible, and layer intermixing can result both from the original damage process and from the enhancement of the diffusion coefficients for the constituents of the original composition profile. A very large number of variables are involved (the atomic mass of the target, the mass and energy of the implant species, the flux and the total dose, the substrate temperature etc.) so that experimental data are needed despite the existence of relatively well developed models for the implantation process. A major difficulty is that conventional techniques (e.g. electron energy loss spectroscopy) have inadequate resolution for the quantification of any changes in the composition profile of fine scale multilayers. However we have demonstrated that the measurement of 002 dark field intensities in transmission electron microscope images of GaAs / AlxGa1_xAs heterostructures can allow the measurement of the local Al / Ga ratio.


Sign in / Sign up

Export Citation Format

Share Document