Anisotropic form of third-order moments and relationship to the cascade rate in axisymmetric magnetohydrodynamic turbulence

2007 ◽  
Vol 14 (9) ◽  
pp. 092305 ◽  
Author(s):  
J. J. Podesta ◽  
M. A. Forman ◽  
C. W. Smith
Keyword(s):  
Third Order ◽  
Magnetohydrodynamic Turbulence ◽  
Anisotropic Form

scholarly journals The third-order law for increments in magnetohydrodynamic turbulence with constant shear

2009 ◽  
Vol 16 (9) ◽  
pp. 090703 ◽  
Author(s):  
M. Wan ◽  
S. Servidio ◽  
S. Oughton ◽  
W. H. Matthaeus
Keyword(s):  
Third Order ◽  
Magnetohydrodynamic Turbulence ◽  
The Third ◽  
Constant Shear

scholarly journals Exact scaling laws and the local structure of isotropic magnetohydrodynamic turbulence

2007 ◽  
Vol 575 ◽  
pp. 111-120 ◽  
Author(s):  
T. A. YOUSEF ◽  
F. RINCON ◽  
A. A. SCHEKOCHIHIN
Keyword(s):  
Scaling Laws ◽  
Linear Scaling ◽  
Mhd Turbulence ◽  
Third Order ◽  
Magnetohydrodynamic Turbulence ◽  
Kolmogorov Turbulence ◽  
Non Local ◽  
Prandtl Numbers ◽  
The Magnetic Field ◽  
Exact Scaling

This paper examines the consistency of the exact scaling laws for isotropic magnetohydrodynamic (MHD) turbulence in numerical simulations with large magnetic Prandtl numbers Pm and with Pm = 1. The exact laws are used to elucidate the structure of the magnetic and velocity fields. Despite the linear scaling of certain third-order correlation functions, the situation is not analogous to the case of Kolmogorov turbulence. The magnetic field is adequately described by a model of a stripy (folded) field with direction reversals at the resistive scale. At currently available resolutions, the cascade of kinetic energy is short-circuited by the direct exchange of energy between the forcing-scale motions and the stripy magnetic fields. This non-local interaction is the defining feature of isotropic MHD turbulence.

scholarly journals The third-order law for magnetohydrodynamic turbulence with shear: Numerical investigation

2010 ◽  
Vol 17 (5) ◽  
pp. 052307 ◽  
Author(s):  
M. Wan ◽  
S. Servidio ◽  
S. Oughton ◽  
W. H. Matthaeus
Keyword(s):  
Numerical Investigation ◽  
Third Order ◽  
Magnetohydrodynamic Turbulence ◽  
The Third

scholarly journals The third-order law for magnetohydrodynamic turbulence with constant shear

2010 ◽  
Author(s):  
M. Wan ◽  
S. Oughton ◽  
S. Servidio ◽  
W. H. Matthaeus ◽  
M. Maksimovic ◽  
...  
Keyword(s):  
Third Order ◽  
Magnetohydrodynamic Turbulence ◽  
The Third ◽  
Constant Shear

Probe size and 5th-order aberration

1987 ◽  
Vol 45 ◽  
pp. 134-135 ◽  
Author(s):  
Zhifeng Shao
Keyword(s):  
Electron Probe ◽  
Spherical Aberration ◽  
Wave Length ◽  
Cylindrical Symmetry ◽  
Electron Wave ◽  
Third Order ◽  
The Third ◽  
Probe Radius ◽  
Small Probe ◽  
Probe Size

A small electron probe has many applications in many fields and in the case of the STEM, the probe size essentially determines the ultimate resolution. However, there are many difficulties in obtaining a very small probe.Spherical aberration is one of them and all existing probe forming systems have non-zero spherical aberration. The ultimate probe radius is given byδ = 0.43Csl/4ƛ3/4where ƛ is the electron wave length and it is apparent that δ decreases only slowly with decreasing Cs. Scherzer pointed out that the third order aberration coefficient always has the same sign regardless of the field distribution, provided only that the fields have cylindrical symmetry, are independent of time and no space charge is present. To overcome this problem, he proposed a corrector consisting of octupoles and quadrupoles.

Children’s Recall of Approximations to English

1973 ◽  
Vol 16 (2) ◽  
pp. 201-212 ◽  
Author(s):  
Elizabeth Carrow ◽  
Michael Mauldin
Keyword(s):  
Language Development ◽  
Fourth Order ◽  
Third Order ◽  
Memory Processes ◽  
The Third ◽  
General Index ◽  
General Linguistic

As a general index of language development, the recall of first through fourth order approximations to English was examined in four, five, six, and seven year olds and adults. Data suggested that recall improved with age, and increases in approximation to English were accompanied by increases in recall for six and seven year olds and adults. Recall improved for four and five year olds through the third order but declined at the fourth. The latter finding was attributed to deficits in semantic structures and memory processes in four and five year olds. The former finding was interpreted as an index of the development of general linguistic processes.

The influence of third-order interactions on the density profile of associating hard spheres

1997 ◽  
Vol 91 (4) ◽  
pp. 761-767 ◽  
Author(s):  
D. HENDERSON ◽  
S. SOKOŁOWSKI ◽  
R. ZAGORSKI ◽  
A. TROKHYMCHUK
Keyword(s):  
Density Profile ◽  
Hard Spheres ◽  
Third Order

Electro-Optic Modulator for Compensation of Third-Order Intermodulation Distortion Using Frequency Chirp Modulation

2020 ◽  
Vol E103.C (11) ◽  
pp. 653-660
Author(s):  
Daichi FURUBAYASHI ◽  
Yuta KASHIWAGI ◽  
Takanori SATO ◽  
Tadashi KAWAI ◽  
Akira ENOKIHARA ◽  
...  
Keyword(s):  
Intermodulation Distortion ◽  
Frequency Chirp ◽  
Third Order ◽  
Chirp Modulation ◽  
Electro Optic ◽  
Electro Optic Modulator
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