scholarly journals Beltrami Fields with Nonconstant Proportionality Factor

2019 ◽  
Vol 236 (2) ◽  
pp. 767-800
Author(s):  
Jeanne N. Clelland ◽  
Taylor Klotz
Keyword(s):  
Proportionality Factor ◽  
Beltrami Fields

scholarly journals Beltrami Fields with a Nonconstant Proportionality Factor are Rare

2015 ◽  
Vol 220 (1) ◽  
pp. 243-260 ◽  
Author(s):  
Alberto Enciso ◽  
Daniel Peralta-Salas
Keyword(s):  
Proportionality Factor ◽  
Beltrami Fields

scholarly journals On Beltrami fields with nonconstant proportionality factor on the plane

2008 ◽  
Vol 61 (1) ◽  
pp. 29-38
Author(s):  
Vladislav V. Kravchenko ◽  
Héctor Oviedo
Keyword(s):  
Proportionality Factor ◽  
Beltrami Fields

On Beltrami fields with nonconstant proportionality factor

2003 ◽  
Vol 36 (5) ◽  
pp. 1515-1522 ◽  
Author(s):  
Vladislav V Kravchenko
Keyword(s):  
Proportionality Factor ◽  
Beltrami Fields

Microanalytical Identification of a New Zr-Nb-Fe Phase

1990 ◽  
Vol 48 (2) ◽  
pp. 132-133
Author(s):  
O.T. Woo ◽  
G.J.C. Carpenter
Keyword(s):  
Trace Elements ◽  
Cold Rolling ◽  
Proportionality Factor ◽  
Tube Material ◽  
X Ray ◽  
Metal Foils ◽  
Arc Melting ◽  
Intermetallic Particles ◽  
Intermetallic Precipitates ◽  
Cold Worked

To study the influence of trace elements on the corrosion and hydrogen ingress in Zr-2.5 Nb pressure tube material, buttons of this alloy containing up to 0.83 at% Fe were made by arc-melting. The buttons were then annealed at 973 K for three days, furnace cooled, followed by ≈80% cold-rolling. The microstructure of cold-worked Zr-2.5 at% Nb-0.83 at% Fe (Fig. 1) contained both β-Zr and intermetallic precipitates in the α-Zr grains. The particles were 0.1 to 0.7 μm in size, with shapes ranging from spherical to ellipsoidal and often contained faults. β-Zr appeared either roughly spherical or as irregular elongated patches, often extending to several micrometres.The composition of the intermetallic particles seen in Fig. 1 was determined using Van Cappellen’s extrapolation technique for energy dispersive X-ray analysis of thin metal foils. The method was employed to avoid corrections for absorption and fluorescence via the Cliff-Lorimer equation: CA/CB = kAB · IA/IB, where CA and CB are the concentrations by weight of the elements A and B, and IA and IB are the X-ray intensities; kAB is a proportionality factor.

Analysis of the proportionality factor in the compensation effect

1978 ◽  
Vol 14 (3) ◽  
pp. 322-326
Author(s):  
L. A. Rudnitskii ◽  
O. V. Zamyatina ◽  
A. M. Alekseev
Keyword(s):  
Compensation Effect ◽  
Proportionality Factor

Some notes on periodic Beltrami fields in Cartesian geometry

1991 ◽  
Vol 32 (3) ◽  
pp. 797-804 ◽  
Author(s):  
D. McLaughlin ◽  
O. Pironneau
Keyword(s):  
Beltrami Fields ◽  
Cartesian Geometry

On an initial boundary value problem involving Beltrami-Moses fields in electromagnetic theory

1993 ◽  
Vol 344 (1671) ◽  
pp. 235-248 ◽  
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Electromagnetic Theory ◽  
Time Dependent ◽  
Covariant Formulation ◽  
Beltrami Fields ◽  
Initial Boundary Value ◽  
Infinite Media

The so-called Harmuth ansatz consists of including autonomous magnetic sources in the time-dependent Maxwell postulates. The Beltrami fields are eigenfunctions of the curl operator, and have been used by Moses for propagation in infinite media. These developments are of relatively recent provenances in electromagnetic theory. We discuss an initial-boundary value problem (IBVP) within the framework of a manifestly covariant electromagnetic formalism by using the Harmuth ansatz. We also show how a covariant formulation of the Beltrami-Moses fields may be used for solving electromagnetic IBVPS.

scholarly journals Beltrami fields in a hot electron–positron–ion plasma

2012 ◽  
Vol 78 (3) ◽  
pp. 207-210 ◽  
Author(s):  
M. IQBAL ◽  
P. K. SHUKLA
Keyword(s):  
Magnetic Field ◽  
Plasma Flow ◽  
Strong Interaction ◽  
Field Configuration ◽  
Hot Electron ◽  
Magnetic Field Configuration ◽  
Beltrami Fields ◽  
Ion Plasma ◽  
Electron Positron ◽  
Laboratory Plasmas

AbstractA possibility of relaxation of relativistically hot electron and positron (e − p) plasma with a small fraction of hot or cold ions has been investigated analytically. It is observed that a strong interaction of plasma flow and field leads to a non-force-free relaxed magnetic field configuration governed by the triple curl Beltrami (TCB) equation. The triple curl Beltrami (TCB) field composed of three different Beltrami fields gives rise to three multiscale relaxed structures. The results may have the strong relevance to some astrophysical and laboratory plasmas.

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