Selection and Visualization of Degenerate Magnetic and Electric Multipoles up to Radial Higher Orders by Cathodoluminescence

ACS Photonics ◽  
2019 ◽  
Vol 6 (9) ◽  
pp. 2320-2326 ◽  
Author(s):  
Taeko Matsukata ◽  
Nikolaos Matthaiakakis ◽  
Taka-aki Yano ◽  
Masaki Hada ◽  
Takuo Tanaka ◽  
...  
Keyword(s):  
Electric Multipoles

Electric multipole interactions in the solid phases of the hydrogen halides

1977 ◽  
Vol 55 (11) ◽  
pp. 975-983 ◽  
Author(s):  
J. E. Vesel ◽  
B. H. Torrie
Keyword(s):  
Ferroelectric Phase ◽  
Molecular Crystals ◽  
Phase Model ◽  
Hydrogen Halides ◽  
Quadrupole Interactions ◽  
Solid Phases ◽  
Electric Multipoles

The ferroelectric and proposed paraelectric phases of the hydrogen halides have been studied using a lattice of molecules which are represented by a set of electric multipoles. This model shows the dominance of quadrupole–quadrupole interactions and the importance of other multipole interactions which affect the librational motions of these molecular crystals. A dynamic ferroelectric phase model was used to calculate the frequencies of the four librational modes.

scholarly journals Reggeons as electric multipoles

1971 ◽  
Vol 34 (4) ◽  
pp. 304-308 ◽  
Author(s):  
V. Alessandrini
Keyword(s):  
Electric Multipoles

scholarly journals A nonlinear small-deformation theory for transient droplet electrohydrodynamics

2016 ◽  
Vol 810 ◽  
pp. 225-253 ◽  
Author(s):  
Debasish Das ◽  
David Saintillan
Keyword(s):  
Deformation Theory ◽  
Evolution Equations ◽  
Liquid Droplet ◽  
Small Deformation ◽  
Theoretical Models ◽  
Element Formulation ◽  
Charge Relaxation ◽  
Surface Charge Distribution ◽  
Leaky Dielectric Model ◽  
Electric Multipoles

The deformation of a viscous liquid droplet suspended in another liquid and subject to an applied electric field is a classic multiphase flow problem best described by the Melcher–Taylor leaky dielectric model. The main assumption of the model is that any net charge in the system is concentrated on the interface between the two liquids as a result of the jump in Ohmic currents from the bulk. Upon application of the field, the drop can either attain a steady prolate or oblate shape with toroidal circulating flows both inside and outside arising from tangential stresses on the interface due to action of the field on the surface charge distribution. Since the pioneering work of Taylor (Proc. R. Soc. Lond. A, vol. 291, 1966, pp. 159–166), there have been numerous computational and theoretical studies to predict the deformations measured in experiments. Most existing theoretical models, however, have either neglected transient charge relaxation or nonlinear charge convection by the interfacial flow. In this work, we develop a novel small-deformation theory accurate to second order in electric capillary number $O(Ca_{E}^{2})$ for the complete Melcher–Taylor model that includes transient charge relaxation, charge convection by the flow, as well as transient shape deformation. The main result of the paper is the derivation of coupled evolution equations for the induced electric multipoles and for the shape functions describing the deformations on the basis of spherical harmonics. Our results, which are consistent with previous models in the appropriate limits, show excellent agreement with fully nonlinear numerical simulations based on an axisymmetric boundary element formulation and with existing experimental data in the small-deformation regime.

scholarly journals Electric Multipoles of Double Majorana Kramers Pairs

2021 ◽  
Vol 90 (7) ◽  
pp. 073701
Author(s):  
Yuki Yamazaki ◽  
Shingo Kobayashi ◽  
Ai Yamakage
Keyword(s):  
Electric Multipoles
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